Photoniques 113
Optical Frequency Combs
Optical Frequency Combs
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N°<strong>113</strong><br />
LIGHT AND APPLICATIONS I EOS & SFO JOINT ISSUE<br />
EXPERIMENT<br />
LABWORK<br />
BACK TO BASICS<br />
BUYER'S GUIDE<br />
SPP imaging<br />
Quantum entanglement<br />
Optical helicity<br />
Nanopositioner<br />
FOCUS ON<br />
OPTICAL<br />
FREQUENCY COMBS<br />
• Interferometry with optical frequency combs<br />
• Optical frequency combs for atomic clocks and<br />
continental frequency dissemination<br />
• Kerr frequency combs: a million ways to fit light<br />
pulses into tiny rings<br />
France/EU : 19 € Rest of the World : 25 €
Editorial<br />
<strong>Photoniques</strong> is published<br />
by the French Physical Society.<br />
La Société Française de Physique<br />
est une association loi 1901<br />
reconnue d’utilité publique par<br />
décret du 15 janvier 1881<br />
et déclarée en préfecture de Paris.<br />
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ISSN : 1629-4475, e-ISSN : 2269-8418<br />
www.photoniques.com<br />
The contents of <strong>Photoniques</strong><br />
are elaborated under<br />
the scientific supervision<br />
of the French Optical Society.<br />
2 avenue Augustin Fresnel<br />
91127 Palaiseau Cedex, France<br />
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Publishing Director<br />
Jean-Paul Duraud, General Secretary<br />
of the French Physical Society<br />
Editorial Staff<br />
Editor-in-Chief<br />
Nicolas Bonod<br />
nicolas.bonod@edpsciences.org<br />
Journal Manager<br />
Florence Anglézio<br />
florence.anglezio@edpsciences.org<br />
Editorial secretariat and layout<br />
Agence la Chamade<br />
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Editorial board<br />
Pierre Baudoz (Observatoire de Paris),<br />
Marie-Begoña Lebrun - (Phasics),<br />
Benoît Cluzel - (Université de Bourgogne),<br />
Émilie Colin (Lumibird), Sara Ducci<br />
(Université de Paris), Céline Fiorini-<br />
Debuisschert (CEA), Riad Haidar (Onera),<br />
Patrice Le Boudec (IDIL Fibres Optiques),<br />
Christian Merry (Laser Components),<br />
François Piuzzi (Société Française de<br />
Physique), Marie-Claire Schanne-Klein<br />
(École polytechnique), Christophe<br />
Simon-Boisson (Thales LAS France),<br />
Ivan Testart (Photonics France).<br />
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Photonics, a Science of Precision<br />
and Accuracy<br />
The history of science teaches<br />
us how numerous scientific<br />
breakthroughs were achieved<br />
by increased precision and accuracy.<br />
It also highlights how pushing forward<br />
the limits of precision and accuracy<br />
opens the way to novel research fields<br />
and applications.<br />
The story of optical frequency combs is<br />
the story of an optical spectroscopy method,<br />
which was developed to overcome<br />
the limits that were reached by conventional<br />
methods in atomic spectroscopy.<br />
This technique based on phase-locked<br />
lasers, initiated in the 1970's, turned out<br />
to be a major scientific breakthrough.<br />
Its importance was highlighted in 2005<br />
when the Nobel Prize in Physics was<br />
awarded to J. L. Hall and T. W. Hänsch<br />
"for their contributions to the development<br />
of laser-based precision spectroscopy,<br />
including the optical frequency<br />
comb technique". Articles of this special<br />
feature unveil the richness of this method<br />
and its huge potential for pushing<br />
forward measurement limits in terms<br />
of precision and accuracy. The fast development<br />
of this technology also benefited<br />
from the remarkable work of<br />
photonic companies, which managed<br />
to implement the most advanced lasers<br />
and optical techniques into ergonomic<br />
devices providing reliable and commercial<br />
sources of optical frequency combs.<br />
Another field associated with excellence<br />
and precision is that of optical glass,<br />
whose development revolutionized optics.<br />
2022 was declared on May 18th 2021<br />
a United Nations International Year of<br />
Glass, and the zoom of this issue is dedicated<br />
to this event. Optical glass has<br />
deeply broadened our horizons, from<br />
NICOLAS BONOD<br />
Editor-in-Chief<br />
the solar system and beyond with the<br />
development of telescopes, to the nano/<br />
micro world, in the solid state and in<br />
life sciences, with the constant progress<br />
achieved in optical microscopy. It has<br />
also brought communications to a new<br />
era by connecting billions of peoples<br />
with optical fibers. All these technologies<br />
have pushed the efficiency of<br />
optical glass to new standards with extremely<br />
precise polishing, structuring<br />
and transparency. The long and rich<br />
history of optical glass is far from being<br />
concluded since the soar of micro and<br />
nanotechnologies, a science of precision<br />
and accuracy, is spurring exciting<br />
and original concepts for tailoring light<br />
propagation through meta-optics.<br />
This international issue inaugurates the<br />
publication of the section "Lab work" devoted<br />
to original optical set-ups aimed<br />
at learning optics and photonics though<br />
experiments. And what better topic than<br />
the emblematic experiment on the violation<br />
of Bell's inequalities to inaugurate<br />
this section? The authors explain how<br />
the EPR paradox, long considered a<br />
“Gedankenexperiment”, has now become<br />
a very exciting lab work in order to<br />
introduce quantum concepts and related<br />
technologies to students.<br />
The preparation of this issue was<br />
marked by the invasion of Ukraine by<br />
Russia. The international scientific<br />
community has been deeply saddened<br />
by this attack on a sovereign country,<br />
which severely violates international<br />
laws. I warmly thank all the scientific<br />
societies that clearly and promptly<br />
condemned the invasion of Ukraine by<br />
Russia, and in particular our partners<br />
SFO, SFP, EOS and EDP Sciences.<br />
<strong>Photoniques</strong> <strong>113</strong> I www.photoniques.com 01
Table of contents<br />
www.photoniques.com N° <strong>113</strong><br />
03 NEWS<br />
Highlights & news<br />
from our 8 partners!<br />
NEWS<br />
03 SFO forewords<br />
04 Partner news<br />
14 News from the Webb<br />
15 Crosswords<br />
16 Research news<br />
ZOOM: INTERNATIONAL YEAR OF GLASS<br />
20 Optical glass: an interplay<br />
of challenges and success<br />
LABWORK<br />
26 Quantum entanglement in the lab<br />
PIONEERING EXPERIMENT<br />
32 Surface plasmon propagation imaging<br />
48<br />
Kerr frequency combs:<br />
a million ways to fit light<br />
pulses into tiny rings<br />
60<br />
How to select<br />
a nanopositioner<br />
solution?<br />
FOCUS<br />
Optical frequency combs<br />
38 Interferometry with optical frequency combs<br />
43 Optical frequency combs for atomic clocks<br />
and continental frequency dissemination<br />
48 Kerr frequency combs: a million ways to fit<br />
light pulses into tiny rings<br />
BACK TO BASICS<br />
54 The optical helicity in a more algebraic<br />
approach to electromagnetism<br />
BUYER’S GUIDE<br />
60 How to select a nanopositioner solution?<br />
PRODUCTS<br />
65 New products in optics and photonics<br />
Advertisers<br />
Accumold ............................................ 39<br />
Aerotech .............................................. 15<br />
APE ........................................................ 23<br />
Comsol ................................................. 13<br />
Eksma Optics ..................................... 29<br />
EPIC ....................................................... 11<br />
Go Edmund ................................. IV e cov<br />
Greenfield Technology .................... 21<br />
HEF Photonics .................................... 55<br />
Imagine Optic ..................................... 27<br />
Intermodulation Products ..............53<br />
IX Blue ...................................................59<br />
Laser Components ........................... 35<br />
Le Verre Fluoré ................................... 25<br />
Lumibird .............................................. 57<br />
Menlo Systems ................................... 37<br />
MKS ................................................ II e cov<br />
Opton Laser ........................................ 63<br />
Pro-lite ................................................. 61<br />
Santec .................................................. 31<br />
Sedi Ati ................................................. 17<br />
Spectrogon ......................................... 41<br />
Spectros ............................................... 16<br />
Sutter .................................................... 47<br />
Tiama.................................................... 19<br />
Toptica ................................................. 49<br />
Trioptics ............................................... 33<br />
Wavetel ......................................... 43, 45<br />
Yokogawa ............................................ 51<br />
Image copyright (cover): ©Nathalie Picqué.<br />
Figure reproduced from Nature Photonics<br />
volume 15, pages 890–894 (2021) under a<br />
Creative Commons Attribution 4.0 International<br />
License. https://www.nature.com/articles/<br />
s41566-021-00892-x
SFO forewords<br />
ARIEL LEVENSON<br />
President of the French Optical Society<br />
“Morally as well as physically, the first of human<br />
rights is the right to light.”<br />
“Au moral comme au physique, le premier des droits<br />
de l’homme, est le droit à la lumière”<br />
Proses philosophiques, Victor Hugo<br />
The United Nations International Year of Light in<br />
2015 was a global success in celebrating the many<br />
ways that light impacts society. The desire to ensure<br />
its legacy led UNESCO to proclaim a permanent<br />
annual International Day of Light, and this<br />
coming edition in 2022 will also be an occasion to<br />
remember our dear friend and colleague Costel<br />
Subran who passed away in January. Costel was<br />
a passionate organizer of International Day of<br />
Light activities in France, and as he would say,<br />
Light must go on!<br />
Among the many International Day of Light<br />
events in France, I wish to highlight the development<br />
of laser teaching kits by the SFO Education<br />
Commission intended for outreach, especially<br />
at secondary schools. These will be freely distributed<br />
to accompany dissemination projects,<br />
and please contact the Education Commission<br />
for details. Let the light penetrate everywhere!<br />
And...Let the sunshine in! From 4-8 July, the<br />
SFO Congress will take place in the Côte d'Azur.<br />
OPTIQUE Nice 2022 will bridge the academic<br />
and industrial communities, with outstanding<br />
plenary speakers including: Alain Aspect, Sophie<br />
Brasselet, Rémi Carminati, Jean Dalibard,<br />
Frédérique de Fornel, Jérôme Faist, Philippe<br />
Goldner, Aurélie Jullien, Sophia Kazamias and<br />
Philip Russell. The congress also includes tutorials,<br />
SFO Club thematic sessions, and 50 industrial<br />
and pedagogical exhibition stands. In addition,<br />
to celebrate the International Day of Light several<br />
events are planned:<br />
• an exhibition of Low Cost Innovation in Optics<br />
organized by the SFO Optics and Physics without<br />
Borders Commission, targeted to help promote<br />
optics in countries and regions where access to<br />
science and technology can be difficult<br />
• a workshop on gender equality organized by<br />
the SFO Gender Equality Commission, which<br />
aims to develop realistic and efficient actions<br />
to address this important issue<br />
• a Scientibus hosted by the SFO Education<br />
Commission and the REOD Network, which<br />
will showcase a range of exciting experiments<br />
to school students<br />
2022 is also the International Year of Glass, and<br />
Glass and Light marry well in the SFO Club for<br />
Guided Optics (JNOG) that recently joined with<br />
the Optical Fibers and Networks Club to better<br />
combine the academic and industrial communities<br />
in a reinforced JNOG.<br />
In this <strong>Photoniques</strong> issue celebrating Bell's<br />
Inequality experiments, I would like to warmly<br />
congratulate our colleague Alain Aspect for his<br />
nomination as Honorary Member of OPTICA,<br />
a highly deserved and prestigious recognition.<br />
It is a pleasure to share this international edition<br />
of <strong>Photoniques</strong> with the European Optical<br />
Society, and I would like here to affirm SFO’s full<br />
support of EOS’s declaration against military intervention<br />
in Ukraine. Our thoughts go out to<br />
our Ukrainian colleagues and their families, and<br />
all whose safety has been jeopardized. They can<br />
be assured of our solidarity: нехай вони будуть<br />
впевнені в нашій солідарності. At the same<br />
time, we know that our many Russian colleagues<br />
are equally concerned, and we look forward to<br />
the time in the hopefully near future where international<br />
science can once again show the way<br />
towards peace.<br />
Photoniquement vôtre<br />
Ariel Levenson<br />
Directeur de recherche CNRS<br />
Président de la SFO<br />
<strong>Photoniques</strong> <strong>113</strong> I www.photoniques.com 03
NEWS<br />
www.sfoptique.org<br />
The next Laser-Induced Breakdown<br />
Spectroscopy France Days,<br />
organized by the SFO LIBS Club<br />
will take place in Marseille on<br />
June 1 and 2, 2022 (France), on the<br />
Luminy campus of Aix-Marseille<br />
University. The LIBS 2022 Days<br />
will be a unique opportunity to<br />
bring together the entire chain<br />
of specialists in this increasingly<br />
developed instrumentation, from<br />
academics to manufacturers and<br />
instrumentation vendors.<br />
https://www.sfoptique.org/agenda<br />
THE SECOND WAVINAIRE:<br />
METASURFACES – JUNE 2022<br />
After the great success of the<br />
first edition, the SFO, the GDR<br />
Complexe and the GDR Ondes are<br />
pleased to announce the second<br />
Wavinaire – open questions which<br />
will be held on June.<br />
The wavinaires are intended for<br />
students, post-docs, engineers<br />
and researchers. This second<br />
edition is organized around an<br />
emblematic publication:<br />
"Light Propagation with Phase<br />
Discontinuities: Generalized Laws<br />
of Reflection and Refraction",<br />
N. Yu, P. Genevet, M. A. Kats,<br />
F. Aieta, J.-P. Tetienne, F. Capasso,<br />
and Z. Gaburro, Science 334,<br />
pp. 333-337 (2011)<br />
An introductory mini course on<br />
a basic concept necessary for<br />
understanding the article, as<br />
well as a brief presentation of its<br />
main results, given by a postdoctoral<br />
fellow, will be followed<br />
by a critical perspective vision<br />
proposed by two internationally<br />
recognized experts, Pierre Chavel<br />
from Institut d’Optique Graduate<br />
School and Bernard Kress<br />
Director, Optical Engineering<br />
- AR hardware - Google, who<br />
will discuss the industrial and<br />
academic impacts. The Wavinaire<br />
will end with questions and a<br />
free discussion.<br />
https://www.sfoptique.org/pages/<br />
sfo/wavinaire.html<br />
WELCOME TO OPTIQUE NICE 2022<br />
You are cordially invited to participate in<br />
the 9th Congress of the French Optical<br />
Society SFO, which will take place in Nice,<br />
France from July 4 to July 8. This congress<br />
provides fertile ground for beneficial exchanges<br />
between academic and industrial<br />
actors of optics and photonics.<br />
Plenary session : Alain Aspect, Sophie<br />
Brasselet, Jean Dalibard, Frédérique De<br />
Fornel, Rémi Carminati, Jérôme Faist,<br />
Philippe Goldner, Sophie Kazamias,<br />
Aurélie Jullien and Philip Russell.<br />
Tutorials sessions will introduce different<br />
hot topics: Thermal emission at the<br />
nanoscale by Jean-Jacques Greffet and<br />
Yannick De Wilde, Single spin detection by<br />
Vincent Jacques, Multiphoton microscopy<br />
by Emmanuel Beaurepaire, Earth-space<br />
telemetry by Clément Courde and we will<br />
even go to Mars with Supercam on the Rove<br />
Perseverance by Pernelle Bernardi.<br />
OPTIQUE Nice Prizes, to promote optics<br />
and photonics research<br />
To recognize excellence, the SFO<br />
awards two Scientific Prizes during<br />
this congress: Grand Prix SFO Léon<br />
Brillouin and the Young researcher<br />
Fabry-de Gramont prize. OPTIQUE<br />
SFO Congress welcomes for the second<br />
time the Jean Jerphagnon Prize, a prestigious<br />
award for outstanding scientific<br />
contributions with high potential industrial<br />
impact.<br />
Women in Optics and Physics commission,<br />
to promote parity in Optics<br />
The congress pays a special attention to<br />
the number of women working in optics,<br />
at all responsibility levels and tends to<br />
parity on invited conferences.<br />
PhD students and young researchers<br />
are welcome in OPTIQUE Nice<br />
Our goal is to allow all PhD students to<br />
participate once in the congress during<br />
their thesis. More than 200 students are<br />
expected. OPTIQUE Nice 2022 will provide<br />
a dedicated and friendly space to<br />
initiate a "Youth" action…<br />
Nice hosts the 9 th edition of SFO biennial<br />
congress<br />
The members of local organizing committee<br />
orchestrated by Sébastien Tanzilli<br />
do their utmost efforts to accommodate<br />
hundreds of participants in a friendly atmosphere.<br />
During our networking program<br />
you will get to know this exciting<br />
city in all its aspects.<br />
OPTIQUE Nice 2022 is an International Day of Light event<br />
https://www.sfoptique.org/<br />
2 ND COLLOQUIUM ON THE PHYSICS<br />
AND APPLICATIONS OF METASURFACES<br />
Fortezza da Basso, Florence, Italie, July 18-22, 2022<br />
This 2 nd colloquium is organized by the Nanophotonics Club of the French Optical Society (SFO)<br />
in collaboration with the Italian Society for Optics and Photonics (SIOF). The attendees will benefit<br />
from outstanding international keynote speakers, Andrea Alù (CUNY), Shanui Fan (Stanford<br />
University), Federico Capasso (Harvard University), Philippe Lalanne (CNRS Bordeaux), Anatoly<br />
Zayats (King's College London) will present the latest developments in all areas of Metasurfaces.<br />
https://www.sfoptique.org/pages/sfo/colloque-metasurface.html<br />
04 www.photoniques.com I <strong>Photoniques</strong> <strong>113</strong>
PARTNER NEWS<br />
www.institutoptique.fr<br />
NEWS<br />
Research in applied optics<br />
at IOGS together with industrial partners<br />
The Institute of Optics Graduate<br />
School (IOGS) has been strengthening<br />
its applied research<br />
activity with industrial partners, both<br />
French and foreign, for a few years now,<br />
notably with the creation in early 2019 of<br />
a dedicated Industrial Photonics team at<br />
the Charles Fabry Laboratory (LCF, CNRS<br />
Joint Research Unit 8501) in Palaiseau (Ile<br />
de France), headed by Yvan Sortais.<br />
Like any team of a laboratory under<br />
the supervision of the CNRS, this one<br />
does not aim at competing with private<br />
offices, nor to interfere in the competition<br />
between companies. It responds to<br />
requests from industrials which contain<br />
at least one original and innovative<br />
point in terms of research, which can<br />
be developed in the form of a patent or<br />
scientific communication, and when it<br />
is free to do so without interfering with<br />
the interests of another industrial with<br />
whom it is already working on a similar<br />
or related subject.<br />
IOGS intends to offer the industry a response<br />
adapted to its needs: services, collaboration,<br />
supervision of doctoral theses<br />
(with industrial funding in particular), and<br />
funding applications for shared projects.<br />
IOGS status as a higher education and<br />
research institution allows industrials to<br />
benefit from the Research Tax Credit.<br />
In all cases, whether or not the initial<br />
request from the industrial is ultimately<br />
translated into a contract, technical exchanges<br />
are governed by a confidentiality<br />
agreement signed by both parties. When<br />
it continues beyond the initial exchanges,<br />
the interaction can last from a few weeks<br />
for the shortest services, to several years<br />
for research projects such as a PhD thesis.<br />
The Industrial Photonics team deals in<br />
particular with requests related to the<br />
design, prototyping and metrology of<br />
optical systems, components or surfaces,<br />
in particular freeform optics, or optronic<br />
systems, for lighting or imaging. The studies<br />
concern many fields (defense, automotive,<br />
pharmaceutical, cosmetics, etc.).<br />
The Industrial Photonics team works<br />
closely with the French Freeform Optics<br />
Association (Freeform Optics - Research<br />
and Solutions), of which IOGS is a founding<br />
member (see Refs. [1,2]).<br />
It relies on the human and material resources<br />
of the LCF: computational resources,<br />
modeling (optical, mechanical,<br />
photometric, thermal, thin films, radiation,<br />
etc.), prototyping (precision optics, mechanics,<br />
electronics, 3D printing, etc.), and<br />
metrology (deformation and roughness of<br />
surfaces, transmission and spectral reflection,<br />
radiometric and photometric fluxes,<br />
color and visual appearance of materials).<br />
More generally, IOGS offers industry the<br />
expertise of the teams from the three<br />
laboratories it oversees with the CNRS:<br />
the LCF, the Laboratoire de Photonique<br />
Numérique et Nanophotonique (LP2N,<br />
UMR CNRS 5298) and the Laboratoire<br />
Hubert Curien (UMR CNRS 5516). IOGS'<br />
response to industrial requests is coordinated<br />
by the Innovation and Industrial<br />
Relations Department.<br />
Contact: dire@institutoptique.fr.<br />
REFERENCES<br />
[1] R. Geyl, F. Houbre, Y. Cornil, Th. Lépine and Y.<br />
Sortais, Optiques freeform : défis et perspectives,<br />
<strong>Photoniques</strong> 106, p. 17 (2021).<br />
[2] Y. Sortais, Th. Lépine, J.-J. Greffet, Des formes<br />
libres dans notre champ de vision, La Recherche<br />
568, p. 54 (2022).<br />
Yvan Sortais, Lab. Charles Fabry<br />
Email : yvan.sortais@institutoptique.fr<br />
An example of a partnership study<br />
between the LCF and industry : Design<br />
and implementation of benches for<br />
characterizing the optical properties<br />
of vials for the pharmaceutical industry<br />
(Credit: SGD Pharma)<br />
CONTACT FORMATION<br />
CONTINUE INSTITUT D’OPTIQUE<br />
GRADUATE SCHOOL:<br />
+33 1 64 53 32 36 - +33 1 64 53 32 15<br />
E-mail : fc@institutoptique.fr<br />
www. fc.institutoptique.fr<br />
<strong>Photoniques</strong> <strong>113</strong> I www.photoniques.com 05
PARTNER NEWS<br />
NEWS<br />
www.pole-optitec.com<br />
AGENDA<br />
Vision Sttugart<br />
04. - 06. October 2022<br />
Meet us on french pavilion<br />
www.pole-optitec.com<br />
About OPTITEC<br />
OPTITEC's mission on the regional/national<br />
level is to foster and<br />
promote activities of the photonics<br />
and imaging sectors in the south<br />
of France and to strengthen the<br />
synergies between its stakeholders<br />
(research, higher education and<br />
industry sectors).<br />
European cluster<br />
At the European level, OPTITEC fosters<br />
the participation of its members<br />
in various EU research and development<br />
programs, notably in Horizon<br />
Europe. In order to enhance the<br />
visibility and competitiveness of its<br />
members it facilitates the interaction<br />
with the European partners.<br />
OPTITEC is a cluster dedicated to innovative<br />
technologies which harness<br />
light to generate, emit, detect,<br />
collect, transmit or amplify the flow<br />
of photons, from terahertz waves<br />
to X rays, applied to five industrial<br />
sectors on fast-growing markets : Security/defence<br />
& major scientific instruments,<br />
Health and life sciences,<br />
Industry 4.0, Smart mobility & cities<br />
and Digital agriculture.<br />
OPTITEC LAUNCHES PHASE 2<br />
OF ITS EUROPEAN PROJECT SUPPORTING<br />
EUROPEAN DUAL-USE SMES<br />
KETs4Dual-Use 2.0 project officially started on 16<br />
September 2021. The project builds on the outcomes<br />
of its predecessor EU KETs4Dual-Use, which<br />
was carried out as a Phase 1 project between September<br />
2018 and February 2020.<br />
The consortium of partners includes French clusters<br />
(pôles de compétitivité) OPTITEC, as the coordinator,<br />
Minalogic & SAFE and the defense and security related<br />
cluster CenSec (Denmark) as well as the Estonian<br />
Defence Industry Association (EDIA).<br />
The project intends to act as a “springboard” for<br />
European dual-use companies wishing to access international markets, with the<br />
aim of integrating sustainable long-term partnerships. The project will support<br />
European dual-use small and medium enterprises (SMEs) accessing markets in<br />
Canada, Singapore and the United Arab Emirates (UAE) and generating growth,<br />
notably through their participation in international missions.<br />
The main objective is to set up business collaboration and to stimulate demand for<br />
European start-ups & SMEs technologies and services in target countries to gain<br />
cross-border diversification and sectoral synergies representing both the supplier<br />
(technology/service providers) and end-user side.<br />
In order to efficiently support the European companies, notably SMEs, in<br />
their conquest of dual-use markets in target countries, various actions are<br />
being carried-out:<br />
• Setting-up of focus groups to discuss innovative solutions in the field of dual-use<br />
technologies and resilient business models<br />
• Identification of international advisors in target countries<br />
• Training and organisation of international missions<br />
• Providing SMEs with a sustainable lifecycle support following their participation<br />
in the missions<br />
In the first 6 months, the consortium has elaborated and carried out a survey acting<br />
as the project’s source of market needs as SMEs are required to take a mapping exercise<br />
to produce the data that will assist with identifying challenges and advantages<br />
of SMEs not only going international, but also collaborating in a cross-sectoral and<br />
boundary environment.<br />
Furthermore, a series of four workshops focusing on the role of selected KETs (cyber-security<br />
& artificial intelligence) for dual-use and on resilient business models is<br />
being organised online between March and June 2022:<br />
• Cyber-security - 24 March 2022<br />
• Artificial Intelligence (AI) - 19 May 2022<br />
• Access to EU funding: European Defence Fund - 2 June 2022<br />
• Procurement processes in target countries - 30 June 2022<br />
Learn more about KETs4Dual-Use project: https://clustercollaboration.eu/content/<br />
european-key-enabling-technologies-dual-use-20<br />
LinkedIn profile: https://www.linkedin.com/showcase/eu-kets4dual-use-2-0<br />
06 www.photoniques.com I <strong>Photoniques</strong> <strong>113</strong>
PARTNER NEWS<br />
www.alpha-rlh.com<br />
NEWS<br />
THE ALPHA-RLH CLUSTER<br />
AND ITS MEMBERS AT PHOTONICS WEST<br />
After two years of pandemic which slowed down international exchanges,<br />
the ALPHA-RLH cluster accompanied its members to the<br />
Photonics West exhibition, one of the major photonics and laser<br />
events, which finally took place in San Francisco over January 25-27, 2022.<br />
Within the French Pavilion organised by Business France, the companies<br />
AA Opto-Electronic, ALPhANOV, Femto Easy, First Light Imaging, Fogale<br />
Nanotech, GLOphotonics and Spark Lasers had the opportunity to exhibit<br />
and promote their technologies. Many other members participated with their<br />
own booth and/or visited the trade show. PIMAP+ European project, coordinated by ALPHA-RLH,<br />
facilitated the participation as visitors for two members, Polytec and Mathym. ALPHA-RLH<br />
also met with its European partners to set-up future internationalisation activities.<br />
The next edition of Photonics West will be held from January 28 th to February 2 nd , 2023.<br />
ALPHA-RLH is planning to attend such a great event!<br />
NewSkin project: application<br />
for the second NewSkin Open Call<br />
ALPHA-RLH and the 33 other partners involved in the<br />
Horizon 2020 NewSkin project have closed the 1st open call<br />
on the 31st of January 2022. This was a great success as 22<br />
applications from SMEs, research organisations and public<br />
structures were selected to cooperate with the NewSkin<br />
partners in the framework of R&D projects. These services<br />
are entirely financed by the NewSkin project and will allow<br />
to develop and test new nanotechnological products and processes on prototypes and<br />
thus improve the performance of surfaces (including metals, polymers, ceramics, graphene<br />
etc.). A second open call will be open from April to July 2022. Do not miss this opportunity<br />
to join the Open Innovation Test Bed allowing to evaluate and uptake innovative surface<br />
nanotechnologies and connect with a unique innovation ecosystem. Register on the project<br />
platform to join the NewSkin community, increase your organisation’s visibility, discover<br />
the NewSkin service offer and apply for the NewSkin open calls.<br />
Contact: Romain Herault - r.herault@alpha-rlh.com<br />
French innovations<br />
at CES Las Vegas<br />
The CES Las Vegas, the world's<br />
largest event for new technologies,<br />
was held over January 5-7, 2022.<br />
A French delegation of 140 start-ups<br />
was present at the show. Among<br />
them, a delegation of 24 start-ups<br />
from Nouvelle-Aquitaine, supported<br />
by the Nouvelle-Aquitaine Regional<br />
Council, the French Tech Bordeaux,<br />
the International Chamber of<br />
Commerce of Nouvelle-Aquitaine<br />
and the ALPHA-RLH cluster. They<br />
had the opportunity to present their<br />
innovations and benefit from media<br />
exposure. We can mention Airudit,<br />
a member of the ALPHA-RLH<br />
cluster, specialised in the design<br />
of voice-controlled human/system<br />
interfaces, and MyEli, which won the<br />
CES 2022 Innovation Award for its<br />
connected jewel that alerts, secures<br />
and protects you in case of danger.<br />
The exhibition allowed ALPHA-RLH<br />
to discover the latest technological<br />
innovations and their applications<br />
on the markets, particularly in<br />
the fields of artificial intelligence,<br />
automotive technology, digital<br />
health, well-being and smart home.<br />
A great experience!<br />
© French Tech Bordeaux<br />
Available funds from PhotonHub Europe project<br />
to accelerate your cross-border innovation projects<br />
PhotonHub Europe project, whose ALPHA-RLH is one of the partners (linked third party), offers<br />
innovation support for European SMEs covering the entire value chain:<br />
• Prototyping (TRL 3-4): Highly collaborative co-innovation initiatives between the PhotonHub<br />
partner(s) and the company. Max grant: 100 k€.<br />
• Upscaling (TRL5-6): Support to optimise an initial prototype for small-series production<br />
in a manner which is compatible with full-scale manufacturing (possibility to include third<br />
parties). Max grant: 250 k€.<br />
• Manufacturing (TRL7-8): Brokerage service, helping companies innovating with photonics to<br />
rapidly connect with existing European manufacturers (2 k€ for EPIC to support the company).<br />
Interested companies should fill in the registration form available on the website to be<br />
contacted and oriented by the project’s team: https://www.photonhub.eu/application-form/<br />
UPCOMING<br />
INTERNATIONAL<br />
EVENTS<br />
Business Mission AISTech 2022<br />
May 16-19 in Pittsburgh (USA)<br />
Manufacturing World Japan<br />
June 22-24 in Tokyo (Japan)<br />
Laser World of Photonics China<br />
July 13-15 in Shanghai (China)<br />
INPHO Venture Summit<br />
October 13-14 in Bordeaux<br />
(France)<br />
<strong>Photoniques</strong> <strong>113</strong> I www.photoniques.com 07
PARTNER NEWS<br />
NEWS<br />
www.photonics-france.com<br />
NEW MEMBERS<br />
Welcome to our new<br />
members : Axeclair, Cegitek<br />
and Luzilight !<br />
BUSINESS MEETING<br />
Photonics for Agrifood industry<br />
May 24 in Paris<br />
The 5 th edition of Photonics Online<br />
Meetings, a European wide virtual<br />
business event dedicated to<br />
photonics technologies, will be held<br />
on 22 November 2022.<br />
The event will bring together major<br />
contractors and suppliers of photonics<br />
technologies and services.<br />
An exceptional arrangement of<br />
pre-scheduled and relevant meetings<br />
between technology suppliers and<br />
contractors will make this day a unique<br />
event during which partnerships and<br />
business opportunities are woven.<br />
In addition, a rich program of plenary<br />
conferences, demonstrations and<br />
technical presentations led by experts<br />
will form pattern of the event.<br />
For further information and to register:<br />
https://onlinemeetings.photonicsfrance.org/<br />
AGENDA<br />
Laser world of photonics,<br />
Munich, April 26-29, 2022<br />
After many successful editions covering different industries, Photonics France<br />
organizes a Business Meeting on May 24, 2022 dedicated to the Agrifood industry.<br />
A full day dedicated to business and networking in Paris (Denfert-<br />
Rochereau), with conferences and workshops on the needs and projects of major<br />
contractors and integrators<br />
For more information and registration : www.billetweb.fr/<br />
business-meeting-agroalimentaire<br />
The event is French speaking only;<br />
Call for submissions: optics and laser safety days<br />
JOURNÉES SECURITE OPTIQUE ET LASER (JSOL)<br />
November 8-9, 2022 in Bordeaux<br />
Business meeting agrifood,<br />
Paris, May 24, 2022<br />
[French speaking only]<br />
Journées securite optique<br />
et laser ( jsol)<br />
Bordeaux, November 8-9, 2022<br />
French photonics days<br />
Saint-Etienne,<br />
October 20-21, 2022<br />
[French speaking only]<br />
Photonics online meetings,<br />
Online, November 2022<br />
CONTACT<br />
PHOTONICS FRANCE<br />
contact@photonics-france.org /<br />
www.photonics-france.org<br />
The 4 th edition of the Optical and Laser Safety Days at Work (Journées Sécurité<br />
Optique et Laser au Travail – JSOL), organized by the National Optical Safety<br />
Committee (Comité National de Sécurité Optique - CNSO) will take place on November<br />
8 and 9, 2022 in Bordeaux. The objective of this event is to promote a safety and<br />
prevention awareness in the field of laser and optical security in companies.<br />
We are looking for speakers to present the risks related to the use of lasers or optical<br />
sources, best practices, as well as the evolution of the regulations.<br />
You want to submit a presentation? Send your abstract to cnso@photonics-france.org<br />
08 www.photoniques.com I <strong>Photoniques</strong> <strong>113</strong>
PARTNER NEWS<br />
https://nano-phot.utt.fr/<br />
NEWS<br />
Nano-optics & Nanophotonics (NANO-PHOT)<br />
Graduate School<br />
An unparalleled 5-year program of excellence<br />
Training by research<br />
NANO-PHOT (Nano-Optics & Nanophotonics) offers an ambitious 5 years<br />
(Master + PhD) education program on the use of light on a nanometer scale.<br />
It aims at training the next generations of researchers and professionals at<br />
the cutting edge of nanophotonic’s sciences and technologies.<br />
Master program (30 ECTS credits/semester)<br />
The NANO-PHOT graduate School offers a rich training program that is 100 % taught<br />
in English. It involves more than 20 faculty members, among them 10 external specialist<br />
lecturers for about 15 classes.<br />
Semester 1 in Reims: Mathematical and numerical tools for physicists, Wave Optics,<br />
Solid state Physics Communication, bibliography, conferences<br />
Foreign Language, Lab Project I (1/day/week)<br />
Semester 2 in Troyes: Classical and quantum light-matter interaction; Materials and<br />
devices in optics and optoelectronics; Nano-optics and Nanophotonics; Microscopies<br />
& Spectroscopies; Nanofabrication & nanomaterials; Innovative companies: entrepreneurship,<br />
economic intelligence, Intellectual properties; Foreign Language; Lab<br />
Project II (1 day/week)<br />
Semester 3 in Troyes: Multi-scale characterization; Hot topics in nano-optics<br />
& nanophotonics; Quantum Optics and Nano-Optics; Foreign language; Management<br />
of research projects; Lab Project III (2 days/week)<br />
Semester 4: 6-month internship in a partner laboratory or company. The master<br />
thesis can be based on the previous Lab projects.<br />
PhD program (UTT doctoral school)<br />
• 3-years PhD research project in a Laboratory within the NANO-PHOT network<br />
• Joint international PhDs are possible!<br />
• Science and Technology Training - 60 h - examples of courses: laser use, atomic force<br />
microscopy, nano-optics & plasmonics<br />
• Employability-Focused/Human Science training - 60h - example of course: ethics and<br />
scientific integrity.<br />
Target skills<br />
• Basics of the multiscale interaction between light and matter<br />
• Knowledge and knowhow in the field of nano-optics and nano-photonics<br />
• Knowing the different types of optical materials and their properties<br />
• Knowing the behavior of light at the quantum level.<br />
• Skills in the use of tools of numerical simulation, nanocharacterization<br />
and nano-fabrication.<br />
• Getting aware of the potential domain of applications of nanooptics<br />
and nanophotonics.<br />
• Autonomy in a research laboratory in interaction with a research team.<br />
• Setting up and managing national and international research projects.<br />
• Understanding the economic and legal environment of innovative companies.<br />
Arousing students' interest in research<br />
begins with their involvement<br />
in laboratories.<br />
The NANO-PHOT Graduate School allows<br />
students to carry out "Lab projects"<br />
from the first year of their Master's degree.<br />
The NANO-PHOT students may<br />
have a complete access of all research<br />
facilities after specific trainings. Located<br />
on two sites, research facilities are<br />
spread among 7 involved laboratories<br />
and a 1200 m 2 platform of technology<br />
(including 750 m 2 of clean rooms).<br />
NEWS<br />
• A Troyes-Berlin-Ohio<br />
Nanophotonics Workshop<br />
took place in Troyes on 2022,<br />
February 24 th<br />
https://nano-phot.utt.fr/news/<br />
troyes-berlin-ohio-nanophotonicsworkshop<br />
• NANO-PHOT has been<br />
sponsoring the annual French<br />
scanning probe microcopy<br />
forum that took place in the<br />
beautifull “baie de Somme”<br />
in March 2022:<br />
www.sondeslocales.fr/forum 2022<br />
• NANO-PHOT is one of the<br />
sponsors of the NFO16<br />
conference (The 16th<br />
International Conference<br />
on Near-Field Optics,<br />
Nanophotonics and Related<br />
Techniques) that will take place<br />
in Victoria, BC, Canada from<br />
29 August to 2 September 2022<br />
https://nfo16.ece.uvic.ca/index.html<br />
#clients-j<br />
<strong>Photoniques</strong> <strong>113</strong> I www.photoniques.com 09
PARTNER NEWS<br />
NEWS<br />
www.photonics-bretagne.com<br />
ECA-iXblue,<br />
a new French naval<br />
defense leader<br />
Strong attendance of the Photonics<br />
Bretagne network at Photonics Europe<br />
Groupe Gorgé, parent company of robotic<br />
specialist ECA-Group, has announced<br />
the acquisition of iXblue for 410 million<br />
euros. This operation will lead to a worldclass<br />
player in the fields of maritime,<br />
inertial navigation, defense, space and<br />
photonics. Long-standing partners, ECA<br />
Group and iXblue benefit from strong<br />
technological and commercial synergies.<br />
With a unique offer ranging from components<br />
to complex systems, the group will<br />
provide high performance solutions for<br />
critical missions in harsh environments.<br />
Photonics Bretagne<br />
expands its team<br />
Photonics Bretagne welcomes three<br />
new talents who joined the team in<br />
2022 to bring their complementary<br />
expertises to the Research and<br />
Technology Organisation:<br />
Robin POUYET<br />
Materials Engineer<br />
and Polymer Chemist<br />
Stéphane PERRIN<br />
Biophotonics<br />
Project Manager<br />
Sébastien CLAUDOT<br />
Technical Manager<br />
Photonics Bretagne and its members (IDIL Fibres Optiques, iXblue, Kerdry, Leukos,<br />
Lumibird, Luzilight, mirSense, Optosigma Europe, Oxxius, Silentsys) have exhibited<br />
at Photonics Europe in Strasbourg from April 3 to 7 and presented their latest<br />
innovations in sensing, imaging, lasers and related components. Photonics Bretagne has<br />
put in light its new range of VLMA Yb fibres, draw tower Bragg gratings, and multiple<br />
range of PCF (Hollow core, supercontinuum, endlessly singlemode…).<br />
The new Perfos® Polarisation Maintening (PM) Ytterbium doped Very Large Mode Area<br />
(VLMA) fibre is particularly suited for the continuously growing ultrafast fibre laser<br />
market. The combination of robust single mode behavior in an all-solid glass form<br />
factor with 750 µm 2 fundamental mode area makes this fibre an ideal tool for high-end<br />
industrial fibre laser manufacturers.<br />
The fibre Bragg gratings arrays are perfectly suited to be used as thermal or strain sensors.<br />
We inscribe them directly during the draw to allow the fibre to preserve its pristine<br />
mechanical strength. Our process allows us to inscribe in the fibre as many gratings as<br />
requested in a repeatable way.<br />
Photonics Bretagne also showed its very last development on metal coatings that allow<br />
optical fibres to handle harsch environment (High temperature, radiative conditions…).<br />
AGENDA<br />
Agrophotonics Webinar<br />
Québec-Bretagne<br />
May 11-12, Online<br />
Agrophotonics MorningTech<br />
“Light technologies at the<br />
service of animal production”<br />
June 9, Ploufragan (France)<br />
Photonics Bretagne<br />
General Assembly<br />
June 21, Lannion (France)<br />
5G ACCELERATION STRATEGY<br />
AND NETWORKS OF THE FUTURE:<br />
LAUNCH OF SIMBADE PROJECT<br />
The SIMBADE project is one of the seven initiatives selected from the French Government<br />
as part of the "5G Acceleration Strategy and Networks of the Future" program, and<br />
received funding from Direction Générale des Entreprises (DGE). The partners of the<br />
project are Ekinops (project leader), Idil Fibres Optiques, Le Verre Fluoré, Orange, the University<br />
Lille 1 - PhLAM laboratory, and Photonics Bretagne. One objective is to develop the telecom<br />
infrastructure and transport capabilities to unlock networks of the future. It aims to increase<br />
the exploitable bandwidth in DWDM transmission systems through the development of efficient<br />
fibre amplifiers in O-E-S telecom bands.<br />
10 www.photoniques.com I <strong>Photoniques</strong> <strong>113</strong>
PARTNER NEWS
PARTNER NEWS<br />
NEWS<br />
www.minalogic.com<br />
Open platform<br />
to explore<br />
new usage scenarios<br />
for optic sensors<br />
On April 5 th , together with the CEA,<br />
Captronic, the Auvergne-Rhône-Alpes region,<br />
the IRT Nanoelec and the Auvergne-<br />
Rhône-Alpes Entreprises agency,<br />
Minalogic presented at the “SystemLab”<br />
Regional Digital Campus an open platform<br />
for new imaging applications. In<br />
particular, STMicroelectronics, Lynred and<br />
Prophesee will examine with small enterprises<br />
new scenarios for the use of optic<br />
sensors by amalgamating data using artificial<br />
intelligence. The goal of this activity<br />
is to promote closer collaboration between<br />
potential users and the R&D actors in optical<br />
imaging by exploring, looking ahead to<br />
and opening the way for tomorrow’s technologies<br />
and uses. This morning event involved<br />
ten start-ups, small enterprises and<br />
micro enterprises and other organizations<br />
from the region.<br />
For more information, please go to<br />
the IRT Nanoelec web site or contact<br />
Florent Bouvier.<br />
AGENDA<br />
All eyes are on the 2022 French<br />
Photonics Days in Saint-Etienne<br />
The 4 th edition of the French Photonics Days will be held on October 20 th and 21 st ,<br />
2022, in Saint-Etienne. The event is being hosted by Photonics France, SupOptique<br />
Alumni, Minalogic and Cluster Lumière, in partnership with Manutech Sleight<br />
Graduate School and the Institut d'Optique Graduate School, with support from<br />
the Saint-Étienne Urban Area and the Auvergne-Rhône-Alpes Region.<br />
The goal of French Photonics Days is to promote<br />
the French field of photonics, to give due<br />
credit to the regions’ actions and investments<br />
in this field, and to highlight the technological advances<br />
and market perspectives of local actors.<br />
The topic selected for this 4 th year’s event<br />
is “Photonics for Displays, Lighting and<br />
Manufacturing”. This topic reflects the skills and experience of the actors in the<br />
local networks and enables French Photonics Days to benefit from the label and<br />
the dynamics of the Manufacturing Biennale.<br />
Designed for a technical but not specialized audience, the objectives of French<br />
Photonics Days are to:<br />
• provide an update on the development of new photonics technologies and present<br />
their applications and markets,<br />
• discuss education and training, and future planning for the field of photonics,<br />
• promote new products at the event sponsors’ stands,<br />
• offer visits of local companies.<br />
In technical terms, the subjects adopted are: the revolution in free-form optics,<br />
photonics and surfaces, and new LEDs and OLEDs for lighting and displays.<br />
This year’s event, to be held in the UNESCO city of creative design, will also comprise<br />
many occasions for networking, including an evening reception.<br />
Registration can be done on the Minalogic and Photonics France web sites.<br />
Registration is free for members of the sponsoring entities (except for the reception).<br />
Minalogic Business Meetings<br />
May 31, 2022, in Grenoble<br />
Minalogic Annual Day,<br />
June 23, 2022, in Grenoble<br />
Laser Processing<br />
for Industry” talks,<br />
June 28-29, 2022, in Saint-Etienne<br />
Photonics for Health” week,<br />
July 4-8, 2022, in Saint-Etienne<br />
Vision trade fair,<br />
October 4-6, 2022, in Stuttgart<br />
“French Photonics Days”, October<br />
20-21, 2022, in Saint-Etienne, as part<br />
of the Manufacturing Biennale.<br />
Contact person:<br />
Florent Bouvier<br />
Photonics Manager in Minalogic<br />
Tel: +33 (0)6 35 03 98 52<br />
florent.bouvier@minalogic.com<br />
LASER WORLD OF PHOTONICS:<br />
A GREAT SUCCESS FOR THIS 2022 EVENT<br />
Minalogic took part in the Laser World of Photonics, the worldwide trade fair for photonics<br />
components, systems and applications that was held on April 26-29, in Munich.<br />
Our cluster accompanied a regional delegation of 9 members, under the aegis of<br />
its International Development Plan, with financial support from the Auvergne-Rhône-Alpes<br />
region. Present at the French Pavilion, operated by Business France and coordinated by<br />
Photonics France to bring together the French photonics field, 5 members of Minalogic (Data<br />
Pixel, Hef Groupe, Qiova, Set Corporation, Teem Photonics) benefited from high visibility<br />
and the collective strength of the groups flying the French flag. Alpao, Cedrat Technologies<br />
Fibercryst, Edmund Optics and Mathym were present with their own stands.<br />
On site, Florent Bouvier and Damien Cohen, from Minalogic’s staff, assisted the members with<br />
their R&D and business prospection activities. They also took advantage of the event to promote<br />
the regional photonics entities at the international level and to identify relevant contacts. In<br />
order to promote networking, conviviality and occasions for meeting people, a reception was<br />
held on April 27 th at the French Pavilion that brought together the members of the French photonics<br />
entities and a number of European partners participating in the Photonics21 platform.<br />
For more information, please refer to the Minalogic web site.<br />
12 www.photoniques.com I <strong>Photoniques</strong> <strong>113</strong>
PARTNER NEWS
RESEARCH NEWS<br />
News from the webb<br />
On December 25 th 2021, the largest space telescope ever built was launched from Kourou on Ariane<br />
5. After receiving this wonderful Christmas gift, astronomers around the world are now eagerly<br />
awaiting the first observations of the Webb telescope.<br />
After receiving this wonderful<br />
Christmas gift, astronomers<br />
around the world are now eagerly<br />
awaiting the first observations of<br />
the Webb telescope. However, unlike<br />
most of its predecessors, the Webb telescope<br />
was not optically operational<br />
after its launch. Six months have been<br />
planned to bring the Webb into its full<br />
scientific capabilities. As of April 1st<br />
2022, no big issues have arisen and<br />
all optical parameters that have been<br />
checked and tested are performing at<br />
the level, or above, of the expectations.<br />
Below is a summary of the milestones<br />
that have been achieved since<br />
the launch:<br />
On Jan 4 2022, the deployment of the<br />
five-layered sunshield that protects<br />
the telescope from the light and heat<br />
of the Sun, Earth, and Moon was successful.<br />
This crucial step took 7 days<br />
with the unfolding and tensioning of<br />
the five thin plastic sheets coated to<br />
reduce the solar power received by<br />
the telescope by a factor of about one<br />
million. The 74 cm secondary mirror<br />
was then deployed at 7 m in front of<br />
the primary mirror, which was still<br />
folded at that time. The telescope was<br />
fully deployed on January 8 when the<br />
two folded wings of the primary mirror<br />
were opened out. The Webb Space<br />
Telescope reached its desired orbit,<br />
nearly 1.5 million kilometers away<br />
from the Earth at the second Sun-<br />
Earth Lagrange point on January 24.<br />
While the telescope and instruments<br />
were still cooling down, alignment of<br />
the telescope started in mid-January<br />
and underwent a series of steps to get<br />
each individual segment aligned and<br />
cophased.<br />
After moving the 7 actuators of each<br />
segment of the primary mirror to their<br />
flight position, the next step was to<br />
identify the 18 images of a star given<br />
by each segments using the NIRCam<br />
instrument. After repositioning them<br />
Figure 1: Diffraction image of the same star<br />
by each of the 18 segments of the primary<br />
mirror. The segments are tilted to create a<br />
hexagonal grid on the NIRCam instrument.<br />
Each image is labelled with the corresponding<br />
mirror segment that captured it. Credits: NASA/<br />
STScI/J. DePasquale. https://blogs.nasa.gov/<br />
webb/2022/02/18/webb-team-brings-18-dotsof-starlight-into-hexagonal-formation/<br />
in a hexagonal pattern (Image 1), each<br />
individual image diffracted by a segment<br />
is focused by updating the alignment<br />
of the secondary mirror and<br />
optimizing the positions of the mirror<br />
segments using their actuators.<br />
After superimposing the 18 images on<br />
top of each other, the segments still<br />
required to be co-phased with each<br />
other by following two steps:<br />
1) Dispersed fringe spectra recorded<br />
on NIRCam from 20 separate pairings<br />
of mirror segments allow a coarse<br />
correction of the vertical displacement<br />
(piston difference) between<br />
the segments.<br />
2) A fine correction is applied based<br />
on the estimation calculated by<br />
phase retrieval algorithms using defocused<br />
images.<br />
This alignment stage was completed<br />
on March 11 with the release of a first<br />
image (Image 2) showing the diffraction-limited<br />
image of an alignment<br />
star and already plenty of small galaxies<br />
in the background…<br />
Early April, this was completed with<br />
the alignment of other Webb instruments:<br />
the Fine Guidance Sensor<br />
(FGS), the Near-Infrared Slitless<br />
Spectrograph (NIRISS), and the Near-<br />
Infrared Spectrometer (NIRSpec).<br />
The Mid-Infrared Instrument (MIRI)<br />
continues its cooling and should soon<br />
reach its cryogenic operating temperature<br />
(7K). A second multi-instrument<br />
alignment will then be carried<br />
out to finalize adjustments of the instruments<br />
and mirrors.<br />
The instruments will be tested in their<br />
different observation modes, to make<br />
sure that they are ready for scientific<br />
observations. Before the end of this<br />
commissioning phase, a few observations<br />
will be made. Once processed,<br />
they will provide the very first images<br />
available to researchers and public<br />
illustrating the capabilities of the<br />
James Webb Space Telescope. Where<br />
Webb will look first has not yet been<br />
disclosed but stay tune… The images<br />
will probably be spectacular !<br />
AUTHOR<br />
Pierre Baudoz, LESIA, Observatoire de Paris,<br />
Université PSL, CNRS, Sorbonne Université,<br />
Université de Paris, France<br />
Figure 2: First diffraction-limited NIRCAM<br />
image released. Hundreds of galaxies can<br />
already be detected in this image. © Nasa.<br />
https://www.nasa.gov/press-release/nasa-swebb-reaches-alignment-milestone-opticsworking-successfully.<br />
14 www.photoniques.com I <strong>Photoniques</strong> <strong>113</strong>
CROSSWORDS<br />
CROSSWORDS<br />
ON OPTICAL<br />
FREQUENCY COMBS<br />
By Philippe Adam<br />
8<br />
<br />
10<br />
9<br />
<br />
1<br />
<br />
<br />
11<br />
<br />
2<br />
<br />
12 13<br />
3<br />
<br />
<br />
<br />
4<br />
<br />
5<br />
<br />
6<br />
<br />
7<br />
<br />
1 Its phase has to be compared with envelope<br />
2 Needed mode to generate frequency combs<br />
3 Interval precisely equal to the repetition rate<br />
4 Spanning music<br />
5 2005 Nobel Prize in Physics<br />
6 Used to measure unknown frequencies<br />
7 Straightforward application of FC<br />
8 Very straightforward application of FC<br />
9 Separation frequency between two modes<br />
10 Long wavelength today produced<br />
by photonic chips<br />
11 Nonlinear effect which could induce<br />
FC in micro-resonators<br />
12 Efficient (or finesse) factor<br />
13 Transmitted from pulse to pulse<br />
SOLUTION ON<br />
PHOTONIQUES.COM<br />
<strong>Photoniques</strong> <strong>113</strong> I www.photoniques.com 15
RESEARCH NEWS<br />
Electrically driven random lasers<br />
Random lasers (RLs) are intriguing devices that attract the interest of researchers for the varied phenomena<br />
they present in areas such as complexity, chaos etc.<br />
But they also have a practical aspect<br />
with promising applications<br />
as light sources for illumination<br />
in microscopy, sensing, super-resolution<br />
spectral analysis, or complex network<br />
engineering. RLs usually require two<br />
material components associated with<br />
the amplification (gain) and feedback<br />
(light diffusion) processes inherent to<br />
lasing. Thus, they have been customarily<br />
obtained from optically pumped organic<br />
dyes, optical fibers and crystals powders,<br />
or electrically pumped semiconductor<br />
heterostructures. Semiconductor RLs<br />
are usually manufactured by introducing<br />
light-diffusing defects in the active<br />
layer, something that adds a degree of<br />
complexity to the manufacturing process<br />
and spoils the ease of realization potentially<br />
offered by messy structures. The<br />
direct availability of electrically pumped<br />
RLs, avoiding an involved and expensive<br />
manufacturing process, could crush the<br />
principal hurdle to their use in research<br />
and technology.<br />
A team of researchers at ICMM (CSIC),<br />
in Madrid realized a procedure to manufacture<br />
a semiconductor RL from an<br />
off-the-shelf laser diode. The fabrication<br />
simply uses the high energy pulses from<br />
an ablating laser to sculpt the output mirror<br />
to create submicrometric roughness.<br />
The optical feedback provided by the<br />
ablated front mirror in combination with<br />
the intact rear mirror results in strong<br />
modification of the cavity modes and<br />
leads to laser emission with a random<br />
multimode spectrum. This in turn lowers<br />
the spatial coherence and messes the angular<br />
pattern. The speckle, characteristic<br />
of highly coherent light sources, is here<br />
strongly reduced.<br />
REFERENCE<br />
A. Consoli, N. Caselli, and C. López,<br />
"Electrically driven random lasing from<br />
a modified Fabry–Pérot laser diode,"<br />
Nat. Photonics 16, 219–225 (2022).<br />
Brillouin light<br />
amplification in silica<br />
nanofiber gas cell<br />
Brillouin scattering in optical waveguides<br />
draws plenty of attentions since it has been<br />
widely exploited for various important applications,<br />
such as microwave photonics,<br />
highly coherent fibre laser, and distributed<br />
fibre sensor. EPFL scientists, in collaboration<br />
with FEMTO-ST Institute, have achieved<br />
a huge amplification of light over a<br />
few centimetre with tapered silica optical<br />
fiber surrounding by high pressure gas. The<br />
strong Brillouin gain in the evanescent field<br />
together with the high tunability offered by<br />
the gaz (gaz type and pression), makes the<br />
integrated Brillouin amplifier very distinct<br />
compared to its solid material counterpart.<br />
They research team has demonstrated a<br />
79-times higher peak Brillouin gain coefficient<br />
in the nanofibre gas cell with 57 Bar of<br />
C0 2 compared to that in a standard singlemode<br />
fibre.<br />
Yang, F, et al. “Large evanescently-induced<br />
Brillouin scattering at the surrounding of a<br />
nanofibre” Nat. Comm. 13, 1432 (2022).<br />
https://doi.org/10.1038/s41467-022-29051-8<br />
16 www.photoniques.com I <strong>Photoniques</strong> <strong>113</strong>
ADVERTORIAL<br />
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feedthroughs can achieve hermeticity where pressure is as high<br />
as 1000 bars, vacuum is as low as 10 -12 mbar, radiation levels<br />
are above 100 M Gray, temperature exceeds 200 °C or goes<br />
down to 0.5 K.<br />
BESPOKE DESIGNS TO SUIT<br />
MANY APPLICATIONS<br />
SEDI-ATI's great strength is its ability to adapt the feedthrough<br />
to the customer's needs. Depending on the application,<br />
the design of a feedthrough can be significantly<br />
different i.e., single or multifiber, fixed or reconfigurable,<br />
bulkhead or inline, with or without flange… Also, a wide<br />
variety of singlemode, polarization maintaining, and multimode<br />
optical fibers can be integrated such as specialty<br />
fibers, solarization resistant fibers, or metal-coated fibers.<br />
Finally, we devote particular attention to both the choice of<br />
materials and the choice of the sealing technology: epoxy,<br />
glass-soldering, brazing.<br />
ABOUT SEDI-ATI FIBRES OPTIQUES<br />
With 50 highly skilled and qualified professionals, a strong<br />
R&D team, and ISO 9001 & 13485 certifications, SEDI-ATI has<br />
in-house resources required to adapt and integrate an intrinsically<br />
fragile material such as the optical fiber to a wide variety<br />
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CONTACT<br />
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contact@sedi-ati.com<br />
www.sedi-ati.com<br />
<strong>Photoniques</strong> <strong>113</strong> I www.photoniques.com 17
INTERVIEW<br />
Michael Mei, Menlo Systems<br />
Menlo Systems recently celebrated<br />
its 20 th anniversary. What were your<br />
initial motivations for creating a new<br />
company in the field of optics and photonics?<br />
What have been the main steps<br />
in terms of growth and development?<br />
In the 1990s, Prof. Theodor Hänsch’s<br />
group at the Max-Planck Institute of<br />
Quantum Optics performed precision<br />
measurements on the hydrogen atom, but<br />
rapidly the possibilities to measure the<br />
wavelengths were exhausted. Frequency<br />
measurement, on the other hand, was<br />
an almost impossible undertaking. This<br />
changed with the invention of the optical<br />
frequency comb technology: an approach<br />
involving the measurement of optical frequencies<br />
using the comb spectrum of a<br />
mode-locked femtosecond laser.<br />
In 2005, Theodor Hänsch and John Hall<br />
were awarded the Nobel Prize in Physics<br />
for their contributions to the development<br />
of high-precision laser spectroscopy, including<br />
frequency comb technology.<br />
Already in 2001, Theodor Hänsch, Ronald<br />
Holzwarth and myself had founded<br />
Menlo Systems GmbH with the mission<br />
to commercialize the frequency comb<br />
technology. Today, Menlo Systems is one<br />
of the market leaders in high-precision<br />
measurement technology and employs<br />
over 160 people worldwide.<br />
INNOVATION & TECHNOLOGY<br />
Can you describe the core of your technology?<br />
What are the main scientific fields<br />
of application of your products?<br />
By means of mode-locked femtosecond<br />
lasers, we were able to create frequency<br />
combs that could be used like a ruler to<br />
directly measure optical frequencies.<br />
The progress was enormous: previously,<br />
equipment filling a whole laboratory was<br />
required to measure a single optical frequency,<br />
whereas now we had a setup of<br />
approx. 1m 2 with which we could measure<br />
any frequency. This was a quantum<br />
leap for many applications. The first<br />
optical frequency combs were rather<br />
sensitive instruments, but over the years<br />
the technology has matured, and optical<br />
frequency combs nowadays are turn-key<br />
fiber-based laser systems designed for<br />
24/7 operation.<br />
Can you comment on the impact of<br />
optical frequency combs on science<br />
and technology?<br />
The impact of optical frequency combs<br />
on science and technology can hardly be<br />
overestimated. While some of the early<br />
adopters predicted limited applications<br />
in traditional high-resolution spectroscopy<br />
only, over the course of the last 20<br />
years the field of applications has widened<br />
and optical frequency combs are<br />
regarded as key enabling tools for many<br />
applications from optical clocks, quantum<br />
sensing and quantum computing, to<br />
detecting exoplanets in astronomy, and<br />
offering unmatched accuracies for tasks<br />
in industrial metrology.<br />
MARKET & STRATEGY<br />
Are you focusing your sales efforts in<br />
Europe or worldwide?<br />
Menlo products all have in common that<br />
the optimal use is in applications where<br />
precision counts. From the very beginning<br />
we had customers from all over<br />
the world. From our headquarters in<br />
Martinsried, close to Munich, we serve<br />
the German and most of the European<br />
market, supported by local experts in<br />
selected countries like our regional sales<br />
engineer located in Bordeaux. In the US,<br />
China, and Japan we have sales and service<br />
offices, with the aim to be close to the<br />
applications and to our customers.<br />
Is Europe a great place for photonics?<br />
Europe has a long tradition in photonics.<br />
Many scientific discoveries and inventions<br />
have been made by its excellent scientists.<br />
The industry benefits from the continuous<br />
stream of graduates out of highly-ranked<br />
universities. In France, there are around<br />
200 science labs with 13.000 scientists, and<br />
about 1000 companies with 50.000 jobs<br />
in optics and photonics (according to<br />
the French trade association AFOP). In<br />
Germany, the situation is excellent as well.<br />
So yes, we consider Europe a great place<br />
for photonics, with France and Germany<br />
both playing an important role.<br />
How do you evaluate the evolution of<br />
photonics? How to increase the spread<br />
of photonic technologies and strengthen<br />
the companies and market?<br />
With new strategic plans for quantum<br />
technologies in place we are observing<br />
the creation of several new companies<br />
and research projects with innovative<br />
quantum applications and technologies.<br />
In France, Menlo Systems already<br />
supports these initiatives by unlocking<br />
access to better laser metrology with<br />
optical frequency combs, and by providing<br />
customizable laser systems for demanding<br />
quantum applications. Menlo<br />
Systems will keep working closely with<br />
French actors of quantum technology<br />
to support this ambitious national plan.<br />
VISION & PERSPECTIVES<br />
How do you imagine the next 20 years for<br />
your company and for photonics? Have<br />
you identified promising scientific areas<br />
for photonic technologies?<br />
Taking the optical frequency comb as<br />
an example, the evolution of scientific<br />
areas has rapidly grown from precision<br />
spectroscopy to very diverse fields including<br />
precision metrology, optical atomic<br />
clocks, astronomy, space applications,<br />
and the quantum technologies. We are<br />
convinced that we currently only see the<br />
tip of the iceberg. By means of integrated<br />
optics and chip based optical frequency<br />
combs our vision is that advanced spectroscopic<br />
tools will become available with<br />
any smartphone in 20 years from now.<br />
CONTACT: Dr. Michael Mei<br />
Menlo Systems GmbH<br />
Bunsenstraße 5<br />
82152 Martinsried, Germany<br />
m.mei@menlosystems.com<br />
18 www.photoniques.com I <strong>Photoniques</strong> <strong>113</strong>
ADVERTORIAL<br />
TIAMA: THE GLOBAL PROVIDER<br />
OF REAL-TIME DATA AND QUALITY CONTROLS<br />
TIAMA is one of the world leaders<br />
in providing inspection and quality<br />
control solutions for the glass<br />
packaging industry. It offers tools for<br />
glassplants to enhance glass production<br />
process efficiency and to control the glass<br />
container’s integrity by detecting defects<br />
(visual, non-visible, dimensional, etc.).<br />
Created in 2008 from the complementary<br />
know-how of MSC and SGCC firms,<br />
Tiama is today a global market player<br />
offering a complete range of inspection<br />
solutions. Its technical expertise, innovative<br />
approach, and market credibility,<br />
enable the company to offer solutions<br />
that go far beyond the simple control of<br />
defects in glass packaging.<br />
In a few figures, Tiama has 91% of export<br />
sales, customers in 79 countries over<br />
the 5 continents, subsidiaries in China,<br />
and the USA, with teams of local technical<br />
engineers. Since its creation, it has<br />
already installed more than 10,000 online<br />
process and quality control solutions<br />
around the world.<br />
Tiama provides real-time data and recommendations<br />
to help glassmakers to<br />
deliver articles with the highest quality<br />
and to improve their productivity. To<br />
meet all of these needs, Tiama develops<br />
its expertise:<br />
• Intelligence: Software gathering realtime<br />
data across the production line<br />
for analysis and management of the<br />
plant performances with display of the<br />
results on a single platform for a view<br />
at-a-glance of the plant productivity.<br />
• Monitoring: The modular hot-end<br />
monitoring systems provide operators<br />
with immediate data and easily applied<br />
information (gob specifics, etc.) to help<br />
improve productivity.<br />
• Inspection: More than 20 years ago,<br />
Tiama was paving the way with the<br />
Atlas, a camera-based check detection,<br />
with automatic settings adapting themselves<br />
to the production changes. Since<br />
then, Tiama has never stopped improving<br />
its various machines with solutions<br />
that offer fast adjustments. The next<br />
steps, working on Big Data analysis and<br />
deep learning features to increase the<br />
predictability of glass production.<br />
• Traceability: Tiama has launched the<br />
first engraving and reading datamatrix<br />
code solutions and remains the only<br />
company offering you full unitary traceability<br />
of each container.<br />
• Service: With more than 70 local experts,<br />
2 training academies and a dedicated<br />
department focused on customer<br />
satisfaction, Tiama offers unrivalled<br />
global support services.<br />
Innovation<br />
Innovation, new products, state-of-theart,<br />
solutions are fully part of the Tiama<br />
Business model. The company holds today<br />
45 patents and allocates 10 % of its<br />
turnover to the R&D department. TIAMA<br />
teams have industrialized lighting systems<br />
and innovative image processing<br />
technics. Some examples:<br />
• Non-contact detection: following<br />
of collaborative project, we have developed<br />
a non-contact and non-destructive<br />
measurement system using<br />
microfocus X-ray source and CT technics<br />
in the XLAB machine. The system<br />
generates a full 3D image composed of<br />
millions of facets that can be freely rotated.<br />
Volume, capacity, vacuity, diameters,<br />
and angles can be measured as<br />
well as thickness fully mapped.<br />
• Process monitoring: for example, in<br />
the HOT mass systems, the cameras<br />
(located just under the shear cut) take<br />
pictures of the free-falling gobs (drops<br />
of fused glass) which are then analyzed.<br />
These data are used to measure and<br />
predict the trajectory of the gobs and<br />
regulate the gob weight automatically<br />
by controlling the tube and the needles<br />
in the feeder system.<br />
• Thermography: this technique consists<br />
in capturing infrared glass emission<br />
with an infrared camera to give information<br />
on container glass distribution.<br />
The system is synchronized with the individual<br />
section machine, so that the<br />
images of articles taken are linked to<br />
their section and cavity of origin.<br />
• Prediction with dynamic mask: for<br />
example, in the Argos system, the machine<br />
integrates optical devices (using<br />
optical fiber) but also dynamic mask allowing<br />
an automatic learning process<br />
in production, based on a reference<br />
mask built with production bottles.<br />
Conclusion<br />
All these projects are just a small part<br />
of what we develop, we strive to remain<br />
competitive in our field of expertise and<br />
always explore all our opportunities for<br />
innovation through collaborative projects<br />
within our ecosystem for example.<br />
<strong>Photoniques</strong> <strong>113</strong> I www.photoniques.com 19
ZOOM<br />
INTERNATIONAL year of glass<br />
Optical glass:<br />
an interplay of challenges and success<br />
For several hundred years, there has been an<br />
impressive interplay between optical design<br />
and optical glass development. Step by step,<br />
imaging by lenses in microscopes or other optical<br />
instruments has almost reached perfection.<br />
Simultaneously, optical technologies have<br />
broadened their application field by entering,<br />
e.g., the area of telecommunication and being<br />
even the driver of novel technologies like<br />
augmented reality. Remarkably, even with<br />
the latter dramatic change in optics, there<br />
has been a red thread concerning the desired<br />
material properties so far. However, with<br />
today´s nanotechnologies, also completely<br />
new approaches may contribute to the field of<br />
optical materials in future. Who knows?<br />
https://doi.org/10.1051/photon/2021<strong>113</strong>20<br />
Ulrich FOTHERINGHAM * , Matthias MÜLLER<br />
Schott AG, Hattenbergstraße 10, Mainz, Germany<br />
*ulrich.fotheringham@schott.com<br />
Introduction to Optical Glasses<br />
Optical glass has a long history and has been in use for<br />
applications which seem far apart but are not. Who would<br />
imagine that the designer of glass for augmented reality has<br />
to cope with essentially the same issues as his predecessor<br />
working on glass for microscopy 100 years ago? However,<br />
there is a red thread connecting all this.<br />
Both the red thread and different applications will be presented.<br />
First, the "red thread properties", the transmittancy,<br />
the refractive index, and the chromatic dispersion will be<br />
introduced. Remarkably, these properties are interrelated<br />
due to fundamental physics – not only for glass, but for any<br />
optical material (Kramers-Kronig relations [1]). Often, this<br />
makes it difficult to simultaneously adjust these properties<br />
to desired values.<br />
Transmittancy. Preferably, optical glasses are made from<br />
oxides with high bandgaps so that only photons energetically<br />
corresponding to a frequency in the ultraviolet (UV)<br />
will be absorbed. These are, e.g., SiO 2 , B 2 O 3 , CaO etc. [1].<br />
Low band gap, colouring impurities such as Fe 2 O 3 are carefully<br />
avoided. With respect to Kramers-Kronig, however, a<br />
desired dispersion may require oxides with medium-size<br />
band gaps that will move the UV absorption edge close to<br />
the lower end of the visible spectrum (400nm) (see Fig. 1).<br />
Chromatic Dispersion. Commonly, optical glasses are categorized<br />
in the Abbe diagram [2] according to n d , the index at<br />
the Fraunhofer line d (587.6nm, yellow), and a characteristic<br />
figure for the chromatic dispersion, the Abbe number,<br />
which is defined by:<br />
ν d = n d - 1<br />
— (1)<br />
nF - n C<br />
The Abbe number increases with decreasing difference<br />
of the indices at the Fraunhofer lines F (486.1nm, blue)<br />
and C (656.3nm, red), i.e. with decreasing main dispersion<br />
(n F – n C ). It is named after Ernst Abbe who in 1889 founded<br />
the Carl Zeiss foundation, the sole shareholder of the two<br />
companies Carl Zeiss AG and Schott AG.<br />
Relative Partial Dispersion. As the relation between the<br />
refractive index and the wavelength is nonlinear, dispersion<br />
characterization requires a quantity which describes the<br />
degree of nonlinearity. A suited one is the relative partial<br />
dispersion P d,C . It is the ratio between the yellow-to-red<br />
dispersion n d – n C (partial dispersion) and the blue-to-reddispersion<br />
n F – n C (main dispersion):<br />
P d,C = n d - n<br />
— C<br />
(2)<br />
nF - n C<br />
20 www.photoniques.com I <strong>Photoniques</strong> <strong>113</strong>
INTERNATIONAL year of glass<br />
ZOOM<br />
GENERATOR<br />
FOR SYSTEM LASER’S<br />
SYNCHRONIZATION<br />
ADVERTORIAL<br />
For a linear wavelength dependence<br />
of the refractive index, P d,C = 0.4 would<br />
hold. For real glasses, it is lower. Note<br />
that beside P d,C , the analogously defined,<br />
but differently behaving P g,F is in use. g is<br />
the 435.8nm Fraunhofer line.<br />
Refractive Index. Typical refractive index<br />
curves of optical glasses are given<br />
in Fig. 2. They are as expected from<br />
Kramers-Kronig [1]; one observes the<br />
following correlations (Figs. 1, 2):<br />
#1. between the refractive index and<br />
the UV absorption edge: the higher<br />
the average index in the visible spectrum,<br />
the closer the UV absorption<br />
edge to the visible spectrum;<br />
#2. between the UV absorption edge and<br />
main dispersion: the closer the UV<br />
absorption edge to the visible spectrum,<br />
the bigger the main dispersion;<br />
#3. between the main dispersion and relative<br />
partial dispersion P d,C : the bigger<br />
the main dispersion, the smaller<br />
the relative partial dispersion P d,C .<br />
Figure 2: Refractive<br />
Index in UV, VIS, NIR<br />
for three glasses<br />
from SCHOTT AG.<br />
Figure 1: Internal<br />
transmission in<br />
UV, VIS, NIR for<br />
three glasses from<br />
SCHOTT AG.<br />
The correlations #1-3 are what do make optical<br />
materials in the upper left of the Abbe<br />
diagram unfeasible! With the above background<br />
on optical glass, the challenges<br />
from optical design will now be discussed.<br />
Challenges from<br />
Conventional Optics<br />
and Corresponding Glasses<br />
Clear glass: enabler of optical imaging.<br />
Ca. 150 years before the first microscopes<br />
and telescopes were assembled in the early<br />
17th century, the first clear glass had<br />
been made by Angelo Barovier. However,<br />
not knowing how to remove colouring impurities,<br />
he titrated the melt with MnO 2<br />
until decolouration was reached [3]. As<br />
the absorption spectrum of MnO 2 is complementary<br />
to that of, e.g., Fe 2 O 3 , a light<br />
grey absorption and thus an almost clear<br />
appearance may be obtained – a tricky,<br />
but smart approach. (The first application,<br />
however, was tableware.)<br />
Greenfield Technology launches a<br />
new pulse and delay generator that<br />
provides picosecond resolution<br />
pulses and delays. This pulse generator<br />
is well suited to synchronize all<br />
the devices of the Picosecond Laser<br />
System (PLS). In this application,<br />
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provides to all the devices of the<br />
system laser (Pump-laser, Q-switch,<br />
Pockel cell…) can receive repetitive<br />
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Optionally, pulse amplitude can be up<br />
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More information on our site<br />
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<strong>Photoniques</strong> <strong>113</strong> I www.photoniques.com 21
ZOOM<br />
INTERNATIONAL year of glass<br />
Figure 3: (left) Achromate with residual secondary colour.<br />
(Right) Apochromate.<br />
These glasses were soda/potash-lime-silicates, called "crown<br />
glasses" after the manufacturing method [3]. The optical position<br />
in the Abbe diagram is denoted by "K".<br />
Despite clear glass, the image quality of the early optical instruments<br />
was poor. Due to dispersion, "blue" rays are refracted<br />
stronger than "red" rays and have another focal length (primary<br />
colour). Different colours are imaged to different positions,<br />
with different magnifications, which gives rise to undesired<br />
colour fringes.<br />
Achromates: solution to primary colour. In the middle of the<br />
17 th century, two element lenses were introduced, with the first<br />
element being a converging one with strong refractive power<br />
(short focal length), but small main dispersion, and the second<br />
element being a diverging one with small refractive power, but<br />
strong main dispersion.<br />
By means of glass selection and lens element geometry, they<br />
are constructed such that (1) the resulting doublet is converging,<br />
but that (2) the strong main dispersion of the second<br />
element compensates the small main dispersion of the first<br />
element. (The dispersion by a converging element spreads colours,<br />
the dispersion by a diverging element recombines colours.)<br />
So coincidence of the "blue focus" and the "red focus"<br />
was reached (achromate, Fig. 3).<br />
Expressed as a formula, the condition for achromatism is [3]:<br />
1 1<br />
0 = — + — (3)<br />
f1,d ∙ν 1,d f2,d ∙ν 2,d<br />
The total focal length f d (referring to n = n d ) for the doublet<br />
follows from the additivity rule for thin lens elements:<br />
1 1 1<br />
— = — + —<br />
fd f1,d f2,d ∙<br />
Figure 4:<br />
Spherical<br />
Aberration<br />
(4)<br />
By " 1,2 " reference to the first or second lens element is<br />
indicated.<br />
Fortunately, the high dispersion glass required had been<br />
invented some time before [3] by George Ravenscroft, who had<br />
introduced lead silicate for tableware, with its sparkling due to<br />
high chromatic dispersion being a very much desired feature.<br />
Consider, for instance, PbO·2SiO 2 . Its bandgap is 3.1 eV which<br />
corresponds to 400nm [3]. With correlation #2 (the closer the<br />
UV absorption edge to the visible, the bigger the main dispersion),<br />
a high dispersion glass can be expected. Such low Abbe<br />
number glasses are called "flints". Two names are attached to<br />
the first achromates: Chester Moore Hall (made the invention),<br />
and John Dolland (got the patent and made the money) [3].<br />
Today, lead-free alternatives are often preferred. So beside<br />
the lead silicates with the acronym "SF", the lead- and arsenic-free<br />
"N-SF"-glasses, situated at the same positions in the<br />
upper right of the Abbe diagram, are available.<br />
Figure 5: Lightguide<br />
Apochromates: solution to residual secondary colour. In<br />
Fig. 3 (right), the yellow focal length is slightly smaller than<br />
that for blue and red. This is due to the nonlinear wavelength<br />
dependence of the refractive index, because of which<br />
the blue-to-yellow-dispersion is much bigger than the yellow-to-red-dispersion.<br />
If the spreading of wavelengths caused<br />
by the converging element is to be compensated by the diverging<br />
element, the ratio of the blue-to-yellow-dispersion to the<br />
yellow-to-red-dispersion must be the same for both elements.<br />
This is equivalent to equal relative partial dispersions.<br />
However, correlation #3 says that the bigger the main dispersion,<br />
the smaller the relative partial dispersion P d,C . is. So<br />
even if the main dispersion of the second element is strong<br />
enough to compensate the main dispersion of the first element,<br />
the partial dispersion will not be. This is why the yellow focal<br />
length is smaller than the one of red and blue. Therefore an<br />
apochromate with all colours in one focus did not yet exist<br />
when in the late 19 th century, Otto Schott appeared on the scene.<br />
Otto Schott could not override Kramers-Kronig. What he<br />
could do was to slightly scale up the index curve by increasing<br />
packing density. Thus, the average index and the main dispersion<br />
in the visible could be increased with neither moving the<br />
UV absorption edge nor affecting relative partial dispersion.<br />
For this purpose, he switched from silicates to borates.<br />
PbO·2B 2 O 3 , for instance, has a bigger band gap and a higher<br />
packing density than PbO·2SiO 2 [3]. Starting with PbO·2B 2 O 3 , he<br />
developed the borate flint S7 [3] (n D = 1.61, ν D = 44.3) that, with<br />
22 www.photoniques.com I <strong>Photoniques</strong> <strong>113</strong>
INTERNATIONAL year of glass<br />
ZOOM<br />
Figure 6: Three<br />
layers of glass<br />
in a waveguide<br />
for augmented<br />
reality (AR)<br />
glasses.<br />
Taken with<br />
permission<br />
from [6].<br />
respect to relative partial dispersion, perfectly<br />
fitted to the high-potassium crown<br />
glass O13 [3] (n D = 1.52, ν D = 58). This and<br />
other "special short flints" enabled the<br />
first apochromates, Fig. 3 (right). (In Otto<br />
Schott´s literature, the Fraunhofer line d<br />
is replaced with the nearby line D.)<br />
First, chemical resistivity was an issue<br />
both for the borate flints and the high<br />
potassium crown glass. One approach<br />
by Otto Schott to settle this was to mix<br />
the two glass formers B 2 O 3 and SiO 2 , a<br />
pioneering step in glass development.<br />
Today, for example, the special short flint<br />
N-KZFS11 and the crown glass SCHOTT<br />
N-BK7® are borosilicates – such as numerous<br />
other optical and technical glasses.<br />
Spherical Aberration: suppression requires<br />
high indices. Lens elements can<br />
easily be ground and polished by simple<br />
rotating devices [1], however, only spherical<br />
surfaces can thus be made. With<br />
them, the focus depends on the distance<br />
between rays and optical axis (longitudinal<br />
spherical aberration, Fig. 4). A second<br />
order calculation gives [1]:<br />
f = — R – — h2<br />
(5)<br />
n-1 2R<br />
So to suppress spherical aberration<br />
while maintaining f, a simultaneous increase<br />
of R and n is necessary. Due to<br />
Kramers-Kronig (correlation #1), this is<br />
especially challenging for low dispersion<br />
glasses.<br />
Again Otto Schott was to find the solution,<br />
being the first to melt barium-containing<br />
glasses in an optical quality. With a<br />
band gap of 6eV, much higher than the one<br />
of PbO, BaO is well suited for low dispersion<br />
glasses. Although Kramers-Kronig<br />
prevents an ultra-high index, a moderately<br />
high index is achieved by the high<br />
packing density of, e.g., glassy sanbornite<br />
BaO·2SiO 2 . Thus the barium crowns "BAK"<br />
as well as the (very) dense crowns "(S)SK"<br />
were launched. A later milestone<br />
Figure 7: FOV in AR glasses with different indices. Left: FOV with binocular<br />
vision. Centre: FOV with display glass, n = 1.5. Right: FOV for AR glass with n =<br />
1.6 (smallest FOV) up to n = 2 (largest FOV). Taken with permission from [6].<br />
<strong>Photoniques</strong> <strong>113</strong> I www.photoniques.com 23
ZOOM<br />
INTERNATIONAL year of glass<br />
concerning high index and low dispersion was lanthanum glass<br />
(George W. Morey, [1]).<br />
Today´s high-end microscopes such as the ZEISS Axio<br />
Observer® offer sophisticated features like artificial-intelligence-based<br />
sample finders for biological samples to prevent<br />
them from the lasting illumination during a lengthy sample<br />
inspection by eye. The optical core is a high-end apochromate<br />
– with its roots going back to the extremely fruitful cooperation<br />
of Ernst Abbe, Carl Zeiss, and Otto Schott.<br />
Novel Optics<br />
Figure 8:<br />
Cross section<br />
of a photonic<br />
crystal fibre<br />
manufactured<br />
by Schott AG.<br />
"Lightguiding": key to the photonic revolution. Out of the<br />
numerous recent optical inventions, the most striking glass-related<br />
ones exploit the phenomenon of lightguiding. Already<br />
discovered in the 17th century by Johannes Kepler [4], total<br />
internal reflection had to wait until the 20th century with its first<br />
commercial use for illumination, imaging and communication.<br />
Transmission is crucial. In conventional optics, light has<br />
to pass through centimeters of material only. Glass fibres for<br />
telecommunication, on the contrary, have to be so free of impurities<br />
that one could look through a several kilometer thick<br />
plate made of that glass. Manufacturing is by chemical vapour<br />
deposition [5]. Index and dispersion also play an important role.<br />
The acceptance angle of a lightguide, i.e. the maximum angle<br />
that is compatible with total reflection, is given by<br />
sin(α) = √ — n 12 - n 2<br />
2<br />
(5)<br />
where n 1 is the core index and n 2 is the cladding index (see<br />
Fig. 5).<br />
The desired indices depend on the application. For telecommunication,<br />
a low acceptance angle is preferred. Light entering<br />
at different angles would take different paths and thus cause<br />
an unwanted broadening of optical pulses. So no high indices<br />
are needed. Core and cladding are usually made from vitreous<br />
silica with certain dopants [5].<br />
It is different for lightguiding in augmented reality (AR, [6]),<br />
Fig. 6. Here, the acceptance angle determines the field of view<br />
(FOV, [6]). The higher the index, the broader the field of view is.<br />
So high index glasses are required. Dispersion management is<br />
by different layers for different colours.<br />
Photonic Crystals and Meta-Materials: exploiting the wave<br />
nature of light. Although the principles of lightguiding can be<br />
explained with ray optics, the complex behaviour of, e.g., telecommunication<br />
fibres can only be understood considering the<br />
guided light as propagating modes, i.e. hybrid electromagnetic<br />
waves which are propagating along the fibre axis and standing<br />
waves in the perpendicular plane.<br />
The wave character becomes particularly important if the<br />
confinement of light to the core is caused by interference in the<br />
cladding. That may occur at structures with a crystal-like order,<br />
so-called photonic crystals (Fig. 8) or at disordered structures,<br />
as it is the case for lightguiding with Anderson-localization<br />
where lightguiding is due to the interference of scattered light<br />
with the scatter centres lying closely together [7].<br />
Photonic crystal fibres offer many different features, among<br />
them being special dispersion management for telecommunication,<br />
low-loss transport of laser power, and others [7].<br />
Nevertheless, photonic crystal fibres are only a small part<br />
of what is generally possible with photonic crystals, i.e. ordered<br />
structures where periodicities with the magnitude of the<br />
wavelength cause special effects. Even more striking effects<br />
are possible with sub-wavelength structures with which very<br />
peculiar phenomena may be generated, e.g., wave propagation<br />
and energy transport in opposite directions which is equivalent<br />
to a negative refractive index [7]. With respect to the highly<br />
sophisticated nanostructures involved, such materials will<br />
certainly not replace classical optical materials, but will offer<br />
highly welcome add-ons of the toolbox.<br />
Conclusion<br />
It is a long way from classical optical imaging to today´s optical<br />
applications like augmented reality. Nevertheless, glassmakers<br />
are all times confronted with similar issues concerning<br />
transmission, refractive index, and dispersion. This is due to<br />
the fact that said properties are inter-related by fundamental<br />
physical laws which prevent "once and for all times" solutions.<br />
On the other hand, these constraints are providing an ever-lasting<br />
challenge to find the limits of feasibility, employing all<br />
modern technologies like, e.g., nanostructuring.<br />
REFERENCES<br />
[1] U. Fotheringham et al., Optical Glass: Challenges From<br />
Optical Design, in: Encyclopedia of Materials: Technical<br />
Ceramics and Glasses, M. Pomeroy Editor-in-Chief, (Elsevier,<br />
Amsterdam, 2021)<br />
[2] https://www.schott.com/de-de/products/<br />
optical-glass-p1000267/downloads<br />
[3] U. Fotheringham, Opt. Mat. Express Feature Issue<br />
Celebrating Optical Glass - IYOG 2022, in press<br />
[4] Molecular Expressions: Science, Optics and You - Timeline -<br />
Johannes Kepler (fsu.edu)<br />
[5] U. Fotheringham, Glastechn. Ber. 62, 52-55(1989)<br />
[6] R. Sprengard, Inf. Disp. 36, 30-33 (2020)<br />
[7] Encyclopedia of Modern Optics, 2 nd edn., B.D. Guenther,<br />
D.G. Steel eds., Elsevier Amsterdam (2018).<br />
24 www.photoniques.com I <strong>Photoniques</strong> <strong>113</strong>
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<strong>Photoniques</strong> <strong>113</strong> I www.photoniques.com 25
LABWORK<br />
Quantum entanglement in the lab :<br />
an experimental training platform<br />
for the second quantum revolution<br />
///////////////////////////////////////////////////////////////////////////////////////////////////<br />
Benjamin VEST 1 , Lionel JACUBOWIEZ 1<br />
1Université Paris-Saclay, Institut d’Optique Graduate School, CNRS, Laboratoire Charles Fabry, 91127 Palaiseau, France<br />
*lionel.jacubowiez@institutoptique.fr, benjamin.vest@institutoptique.fr<br />
https://doi.org/10.1051/photon/2022<strong>113</strong>26<br />
This is an Open Access article distributed under the terms of the<br />
Creative Commons Attribution License (http://creativecommons.org/<br />
licenses/by/4.0), which permits unrestricted use, distribution, and<br />
reproduction in any medium, provided the original work is properly<br />
cited.<br />
The recent and rapid progress in the field of quantum<br />
technologies stimulates developments of specific<br />
courses and experimental training for future engineers<br />
and scientists. We describe below the experimental<br />
setup developed at Institut d’Optique Graduate<br />
School for engineering and Master students. During<br />
a labwork session afternoon, students can study a<br />
source of polarization entangled state pairs of photons<br />
and perform an experimental violation of Bell’s<br />
inequalities. This emblematic experiment is one of<br />
the experiments dedicated to quantum photonics.<br />
It was built in 2005 in the LEnsE (the Laboratoire<br />
d’Enseignement Experimental) of the Institut d’Optique<br />
Graduate School and has been perfectly working for<br />
almost eighteen years already.<br />
Entangled states represent<br />
one of the most strikingly<br />
counter-intuitive features of<br />
quantum mechanics, and as such,<br />
are often held as a great example<br />
of what quantum world means.<br />
Before the experiments by Alain<br />
Aspect and his team at Institut<br />
d’Optique reporting Bell’s inequalities<br />
violation in the early 80s [1],<br />
decades of research have led to<br />
tremendous results revolutionizing<br />
our understanding of light-matter<br />
interaction. The first revolution of<br />
quantum physics has deep connections<br />
with the wave-particle-duality<br />
and the description of physical<br />
systems using the concept of wave<br />
functions. For instance, the process<br />
of carrier photogeneration<br />
by semiconducting devices is a direct<br />
consequence of the ability of<br />
quantum mechanics to explain the<br />
structure of matter and the optical<br />
properties of materials. As a consequence,<br />
it is reasonable to consider<br />
that many experimental labwork<br />
sessions in the LEnsE, dedicated<br />
to cameras and light detectors, are<br />
true quantum experiments!<br />
However, the term “quantum photonics”<br />
usually refers to the concepts<br />
that emerged and were popularized<br />
after a second quantum revolution.<br />
Starting from the Aspect<br />
experiments, this second quantum<br />
revolution is focused on the most<br />
surprising and counter-intuitive<br />
predictions of quantum mechanics<br />
whose manipulation can<br />
lead to the development of a new<br />
generation of sensors, quantum<br />
26 www.photoniques.com I <strong>Photoniques</strong> <strong>113</strong>
LABWORK<br />
communication schemes, simulators<br />
or quantum computing.<br />
A two-photon polarization<br />
entangled state<br />
Entangled states are a class of multi-particle<br />
states whose existence<br />
is predicted by quantum mechanics<br />
[2,3]. The state of the polarization<br />
entangled pairs of photons that<br />
we produce in the labwork experiment<br />
can be written as:<br />
|ψ 2ph = 1 — √<br />
— 2<br />
(|V I |V II + |H I |H II )<br />
This is a typical polarization entangled<br />
state where V and H refer to the vertical<br />
and horizontal direction of polarization<br />
and I and II refer to each photon<br />
of the pair.<br />
Why this entangled polarization state<br />
is so extraordinary? So strikingly<br />
counter-intuitive?<br />
To explore more in details the features<br />
exhibited by this two-photon entangled<br />
state in polarization, we will perform<br />
measurements on the polarization of<br />
each photon of the pair. Figure 1 below<br />
describes the classical polarization<br />
measurement setup that we use in<br />
our experiment.<br />
For the entangled state |ψ 2ph , whatever<br />
the direction of polarization, α , photon I is<br />
detected 50% of the time in state |V I α and<br />
is detected 50% of the time in state |H I α <br />
(the probabilities are : P (|V I α ) = P (|H I α )<br />
= 1/2). The same result would be obtained<br />
for photon II (P (|V I β ) = P (|H I β )<br />
= 1/2, whatever the direction of projection<br />
β is). So, in this entangled state, none<br />
of the photons of the pair has initially a<br />
defined polarization state and the measurement<br />
process attributes randomly<br />
the state |V I α or |H I α to the photon I.<br />
A question now arises: what does<br />
happen with the other photon of the<br />
pair, let us say photon II? The answer<br />
is hard to believe: it is not even necessary<br />
to measure the state of photon<br />
II! Quantum formalism tells us<br />
that the polarization state of photon<br />
II is identical to the polarization state<br />
already measured of photon I. In other<br />
words, if the same settings are selected<br />
for both channels (β = α), the second<br />
photon is systematically detected in<br />
the same state as photon I. The measurement<br />
outcomes on both channels<br />
I and II are perfectly correlated: that is,<br />
the conditional probabilities P (V II α |V I α )<br />
and P (H II α |H I α ) are equal to 1 whatever<br />
α is.<br />
So P (|V I α , |H II α ) = P (|V I α |V II α ) = 1/2<br />
and P (|H I α , |V II α ) = P (|V I α |H II α ) = 0<br />
and the degree of correlation of measurements<br />
between both channels is in this<br />
case : E = (α, α) = P (|V I α , |V II α ) + P (|H I α ,<br />
|H II α ) – P (|H I α , |V II α ) – P (|V I α , |H II α ) = 1<br />
Bell’s parameter<br />
More generally, we can choose to rotate<br />
the measurement basis on path I<br />
with an angle α and on path II by an<br />
angle β, different from α. Quantum<br />
formalism then predicts that the<br />
conditional probability of detection<br />
is expressed as:<br />
P (|V I α | |V I I β ) = cos 2 (α – β)<br />
which is maximal and equal to 1, as<br />
we already noticed, as long as α = β.<br />
The degree of correlation of the<br />
measurements between both channels<br />
is in this case :<br />
E (α , β ) = P (|V I α , |V I I β ) + P (|H I α ,|H I I β )<br />
– P (|H I α ,|V I I β ) – P (|V I α ,|H I I β )<br />
E (α , β ) = cos 2 (α , β ) – sin 2 (α , β ) =<br />
1 –2 cos 2 (α , β )<br />
So, with this experiment setup, we<br />
can measure the Bell’s parameter<br />
which is :<br />
S Bell = E (α , β ) + E (α', β )<br />
+ E (α', β') + E (α , β')<br />
The maximal value is obtained for<br />
α = 22.5°, α' = 45°, β = 45° and β' = 67.5° for<br />
which the Bell’s parameter is S Bell = 2√ – 2.<br />
Non-locality in<br />
quantum correlations<br />
We must however stress that the formalism<br />
of quantum mechanics has several<br />
counterintuitive (maybe<br />
<strong>Photoniques</strong> <strong>113</strong> I www.photoniques.com 27
LABWORK<br />
even disturbing!) consequences.<br />
Let us recall that the measurement<br />
outcomes on photon I are<br />
uniformly distributed over states<br />
|V I α and |H I α , and that this property<br />
does not even depend on α.<br />
So, when considering the outcome<br />
of the first measurement occurring<br />
in the setup, one cannot<br />
assign any preferred direction to<br />
any photon whatsoever. The polarizer<br />
settings on both channels<br />
can be changed independently<br />
until the very last moment. Then,<br />
as soon as projection occurred<br />
on photon I, quantum formalism<br />
tells us that the state of photon II<br />
is also instantaneously projected<br />
and known with certainty. There<br />
is no need to explicitly perform<br />
a measurement on photon II: it<br />
Figure 1. Classical polarization measurement setup:<br />
Each channel is composed of a polarizing beam<br />
splitter (PBS) preceded by a half-wave plate (HWP)<br />
which allows one to choose the projection basis of<br />
the polarization measurements (α and β).<br />
becomes assigned to a specific<br />
state, not defined by a measurement<br />
of one of its own features, but<br />
via a measurement performed on<br />
another particle, possibly located at<br />
the opposite side of the universe! This<br />
instantaneous “spooky action at a<br />
distance” disrupts our understanding<br />
of “locality”.<br />
Figure 2. Experimental setup built in the LEnsE<br />
in 2005<br />
EPR paradox:<br />
The completeness<br />
of quantum mechanics<br />
in question<br />
Entangled states display correlations<br />
that seem to involve non-local<br />
influence between physically separated,<br />
non-interacting systems. This<br />
deeply troubled many physicists<br />
including Einstein, and led to the<br />
famous Einstein-Podolsky-Rosen<br />
(EPR) paper published in 1935 [4]. In<br />
this article, the authors imagined a<br />
similar situation as the one exemplified<br />
above in a famous thought experiment<br />
(“Gedankenexperiment”).<br />
But they also explicitly assumed that<br />
such spooky action at a distance was<br />
impossible, so that the quantum<br />
28 www.photoniques.com I <strong>Photoniques</strong> <strong>113</strong>
LABWORK<br />
It seems that Niels Bohr was deeply troubled<br />
by the EPR argument relying precisely on quantum<br />
formalism itself to show its incompleteness.<br />
He was convinced that if the “EPR” reasoning<br />
on reality and locality was correct, all of quantum<br />
physics would collapse.<br />
physics description failed at giving an appropriate<br />
understanding of the process.<br />
Einstein and his partners however believed<br />
that another theory, compatible<br />
with local reality (so called hidden variable<br />
theory or HVT), could explain<br />
the correlations of entangled states as<br />
predicted by quantum mechanics. This<br />
theory was yet to establish. The general<br />
idea behind local hidden variable<br />
theories is the following. It is assumed<br />
that the photon pairs have a new kind of<br />
physical property: for instance here, an<br />
identical "polarization property", shared<br />
by both photons and attributed to them<br />
via the pair-generation process, and<br />
labeled, say, by θ. Since θ is the same<br />
for both photons, it would explain why<br />
both photons of any pair are measured<br />
along the same direction whatever this<br />
direction is. And since it is established<br />
at the source, it is local: the photons carry<br />
θ with them at all time. The result of the<br />
measurement performed on each channel<br />
depends on the value of θ for the<br />
photon itself, and not on what happens<br />
to the other photon. θ is called a hidden<br />
variable, in the sense that it does not appear<br />
explicitly in the expression of the<br />
state, |ψ 2ph , in the quantum formalism.<br />
This tends to show that the wavefunction<br />
somehow “lacks” some of the information<br />
on the system. This is why it is<br />
said that the EPR paper and the hidden<br />
variable theories contradict the completeness<br />
of the quantum theory.<br />
It seems that Niels Bohr was deeply<br />
troubled by the EPR argument relying<br />
precisely on quantum formalism itself<br />
to show its incompleteness. He was<br />
convinced that if the “EPR” reasoning<br />
on reality and locality was correct, the<br />
whole quantum physics theory would<br />
collapse. Bohr defended the formalism<br />
of quantum mechanics by asserting that,<br />
for these entangled quantum states of<br />
several particles, one could not speak<br />
of the individual properties of each of<br />
the particles: thus, there are no hidden<br />
variables. Entangled particles definitely<br />
behave as a single object regardless of<br />
their separation distance.<br />
The debate between Bohr and Einstein<br />
lasted for more than twenty years until<br />
they both died. In fact, Einstein never<br />
contested the correctness of quantum<br />
physics predictions, but how quantum<br />
physics explained these predictions.<br />
Bell’s theorem<br />
and parameter<br />
But in 1965, surprising breakthrough, the<br />
Irish physicist John Bell showed that this<br />
debate could be settled experimentally<br />
[5]. He showed that if we measure the<br />
Bell’s parameter, S Bell , as defined before,<br />
assuming any local hidden variable hypothesis,<br />
its value is less than two.<br />
–2 < S Bell < 2<br />
These are the so-called Bell’s inequalities.<br />
In parallel, quantum physics predicts value<br />
of S Bell > 2 for specific choices of α, α',<br />
β and β' , with a maximal value of S Bell =<br />
2√ – 2. Entangled states are said to violate<br />
Bell’s inequalities.<br />
Since the two formalisms are not compatible,<br />
then who is right? Einstein or Bohr?<br />
An experimental test of Bell’s inequalities<br />
is thus to choose a conflictual set of<br />
measurements and to measure what is<br />
the value of Bell’s parameter, and see if it<br />
is compatible or not with a local hidden<br />
variable theory.<br />
<strong>Photoniques</strong> <strong>113</strong> I www.photoniques.com 29
LABWORK<br />
An overview of the<br />
labwork setup<br />
This experimental setup was proposed<br />
in the early 2000’s [2,5]. What<br />
limited many experiments a few decades<br />
ago was the difficulty to create<br />
a bright source of photon pairs.<br />
A convenient way to proceed is to<br />
use a type I phase matching spontaneous<br />
parametric downconversion<br />
process in nonlinear crystals, see<br />
figures 2 and 3. The pump, a 60mW<br />
at 405nm blue InGaN laser diode, gives<br />
810nm entangled photons. We<br />
will come back later to the detailed<br />
description of the Bell’s state preparation.<br />
Downconverted photons are<br />
collected by two lenses (focal length:<br />
75mm, diameter: 12.5mm) at about<br />
one meter from the crystals and<br />
focused on single photon counting<br />
avalanche photodiodes. Filters at<br />
810nm, 10nm width, are placed just<br />
in front of each lens. Polarization is<br />
analysed by rotating the half wave<br />
plates in front of the polarization<br />
beam splitter cubes.<br />
Black plastic tubes prevent from<br />
stray light and protect single photon<br />
counting modules. For each detected<br />
single photon, these modules<br />
give a 25ns TTL pulse which is sent<br />
to a coincidence detector to ensure<br />
that the coincidences are measured<br />
between photons of the same downconverted<br />
pair. In our experiment, for<br />
Figure 3. Two-crystal downconversion source:<br />
The crystals are 0.5 mm thick and in contact<br />
face-to-face, while the pump beam is approximately<br />
1 mm in diameter.<br />
single detection rates of about<br />
23000 on each side, we detect a coincidence<br />
rate of about 1600 (that is<br />
1600 pairs of photons persecond).<br />
Bell state<br />
preparation<br />
The key of the setup is the preparation<br />
of a pure entangled state, one<br />
that will make sure that we can discriminate<br />
between hidden variable<br />
theories and quantum mechanics.<br />
We shall create photon pairs<br />
through a process that will indistinguishably<br />
generate either |H I |H I I <br />
or |V I |V I I in a superposition state<br />
(and not in a statistical mixture).<br />
To produce polarization entangled<br />
pairs of photons, we use two<br />
identical thin crystals, rotated by<br />
90° from each other about the pump<br />
beam direction (see figure 3). For<br />
a vertically polarized pump, the<br />
down-conversion process generates<br />
pairs of horizontally polarized<br />
photons in the first crystal; the second<br />
crystal has no more effect.<br />
For a horizontally polarized pump,<br />
the first crystal has no effect; the<br />
down-conversion process generates<br />
pairs of vertically polarized photons<br />
in the second crystal.<br />
|V pump → e iH |H I |H II <br />
and |H pump → e iV |V I |V II <br />
For a rectilinearly polarised pump<br />
at 45°, the pump photons state is<br />
written as:<br />
|ψ pump = 1 — √<br />
– 2<br />
(|V pump + |H pump)<br />
In this configuration, 45° polarized<br />
pump photons can down-convert in<br />
either crystal. But it is absolutely<br />
impossible to know in which crystal<br />
the photon pairs were created!<br />
By erasing this “which crystal information”,<br />
we ensure that the photon<br />
pairs are in the superposition state:<br />
|ψ 2ph = 1 — √<br />
– 2<br />
(|V I |V II + e i 0 |HI |H II )<br />
Where 0 is a phase which depends<br />
on many different parameters<br />
(wavelengths of pump and downconverted<br />
photons, for example),<br />
and is a direct consequence of the<br />
birefringence of the crystals.<br />
In practice, to get a pure Bell’s state,<br />
we pre-compensate this phase by<br />
placing a Babinet compensator in<br />
front of the pair of crystals. The role<br />
of the Babinet compensator is to introduce<br />
a relative phase between<br />
|H pump and |V pump:<br />
Babinet<br />
|ψ Pump = — 1 – (|V pump – e -i 0 |Hpump ),<br />
√ 2<br />
30 www.photoniques.com I <strong>Photoniques</strong> <strong>113</strong>
LABWORK<br />
The measurement of a Bell parameter is now<br />
routinely used with various quantum systems,<br />
in order to evaluate their performances in the context<br />
of quantum technologies.<br />
leading to a pure Bell’s state :<br />
|ψ EPR = 1 — √<br />
– 2<br />
(|V I |V II + |H I |H II ),<br />
For this state, the joint probability of<br />
detection in the V I<br />
45°<br />
|V II<br />
45°<br />
| configuration<br />
reaches a maximum. The Babinet<br />
compensator is adjusted while monitoring<br />
the coincidence rate until it<br />
reaches an optimum for α = β = 45°.<br />
Results<br />
The Bell parameter is measured by<br />
using a configuration of the four measurement<br />
basis that maximizes the deviation<br />
between local hidden variable<br />
theories and quantum mechanics. It is<br />
given by the angles α = 0°, β = 22.5°,<br />
α' = 45°, β' = 45°.<br />
In our experiment, we obtain S bell (α, α',<br />
β, β') = 2.48 with a standard deviation<br />
σ = 3.10 -3 . The result shows that we do<br />
not reach an ideal entanglement quality<br />
(S bell = 2√ – 2), but it clearly and unambiguously<br />
disagrees with any hidden<br />
variable local theory.<br />
Conclusion<br />
Since the eighties, the EPR paradox is no<br />
longer a “Gedankenexperiment”. Now,<br />
it has become a very exciting labwork<br />
for students. It also has recently taken<br />
another dimension: the measurement<br />
of a Bell parameter is now routinely<br />
used with various quantum systems, in<br />
order to evaluate their performances in<br />
the context of quantum technologies.<br />
This labwork therefore now echoes<br />
with other ambitions aiming at building<br />
more advanced experimental training<br />
platforms for the second quantum revolution.<br />
Talking about indistinguishability,<br />
the Lense has been proposing for<br />
now more than 8 years a labwork dedicated<br />
to the Hong-Ou-Mandel effect, a<br />
two-particle interference experiment<br />
allowing to quantify the indistinguishability<br />
of photons generated by<br />
a similar downconversion process.<br />
Another setup under construction will<br />
be dedicated to the study of nitrogen<br />
vacancy centres in diamond, and their<br />
behaviour as single photon sources.<br />
REFERENCES<br />
[1] A. Aspect, “Bell’s Theorem: The Naive View of an Experimentalist,” Quantum [Un]<br />
speakables, 119–153 (2002). https://doi.org/10.1007/978-3-662-05032-3_9.<br />
[2] D. Dehlinger, M. W. Mitchell, Am. J. Phys. 70, 903–910 (2002). https://doi.<br />
org/10.1119/1.1498860.<br />
[3] C. Fabre, <strong>Photoniques</strong> 107, 55-58 (2021) https://doi.org/10.1051/photon/202010755<br />
[4] A. Einstein, B. Podolsky, N. Rosen, Phys. Rev. 47, 777–780 (1935). https://doi.<br />
org/10.1103/PhysRev.47.777.<br />
[5] J. S. Bell, Phys. Phys. Fiz. 1, 195–200 (1964). https://doi.org/10.1103/<br />
PhysicsPhysiqueFizika.1.195.<br />
[6] D. Dehlinger, M. Mitchell, Am. J. Phys. 70, 898–902 (2002).<br />
https://doi.org/10.1119/1.1498859.<br />
<strong>Photoniques</strong> <strong>113</strong> I www.photoniques.com 31
PIONEERING EXPERIMENT<br />
SURFACE plasmon imaging<br />
SURFACE PLASMON<br />
PROPAGATION IMAGING<br />
BY A PHOTON SCANNING<br />
TUNNELING MICROSCOPE<br />
///////////////////////////////////////////////////////////////////////////////////////////////////<br />
F. DE FORNEL 1, *, P. DAWSON 2 , L. SALOMON 1 , B. CLUZEL 1<br />
1<br />
Laboratoire Interdisciplinaire Carnot de Bourgogne, Université de Bourgogne, 9 Avenue Alain Savary, 21078 Dijon, France<br />
2<br />
Centre for Nanostructured Media, School of Mathematics and Physics, Queen's University, Belfast, BT7 1NN, UK<br />
*ffornel@u-bourgogne.fr<br />
This paper describes the first direct observation<br />
of surface plasmon propagation on a metallic thin<br />
film deposited on a glass slide, thus facilitating the<br />
first direct measurement of the propagation length.<br />
This was achieved using photon scanning tunneling<br />
microscopy (PSTM). Subsequently, near-field<br />
observations of the surface plasmon buried at the<br />
metal-glass interface, generated from a discontinuity<br />
in the metallic thin film, were reported.<br />
https://doi.org/10.1051/photon/2021<strong>113</strong>32<br />
In the 1990’s, near-field optical<br />
microscopies took off promising<br />
to become a unique tool<br />
for exploring optical phenomena<br />
at the nanoscale.<br />
At that time, the photon<br />
scanning tunneling microscope<br />
(PSTM) [1,2] which was the analog<br />
for photons of the electronic scanning<br />
tunneling microscope (STM)<br />
demonstrated these capabilities.<br />
Using this technique, it became<br />
possible to measure the optical near<br />
field in the vicinity of subwavelength<br />
structures illuminated under<br />
various conditions. Among them,<br />
the PSTM has proven to be a powerful<br />
tool for the study and the analysis<br />
of surface plasmons which are<br />
resonant electromagnetic modes<br />
associated with the collective oscillation<br />
of an electron plasma at<br />
the interface between a metal and<br />
a dielectric [3]. Indeed, for a thin<br />
film of silver deposited on glass, the<br />
metal-air surface plasmon excited<br />
in Kretschmann configuration [4]<br />
has an extension in air of a few<br />
hundred nanometers in the visible<br />
range, making it an ideal candidate<br />
for optical near-field measurement<br />
with a PSTM. In the seminal paper<br />
of Dawson et al [5], the propagation<br />
of a surface plasmon was shown for<br />
the first time and its damping was<br />
directly quantified by viewing its<br />
propagation length. These results<br />
were further completed by the demonstration<br />
of the contribution of<br />
32 www.photoniques.com I <strong>Photoniques</strong> <strong>113</strong>
SURFACE plasmon imaging<br />
PIONEERING EXPERIMENT<br />
a buried metal-glass plasmon in the<br />
near- field pictures thanks to successive<br />
improvement in near-field measurement<br />
techniques.<br />
DIRECT OBSERVATION OF THE<br />
METAL-AIR SURFACE PLASMON<br />
Figure 1 shows the schematic of the<br />
seminal experiment performed at<br />
the University of Bourgogne. A 50 nm<br />
thin silver film was illuminated by two<br />
Helium:Neon lasers in oblique incidence.<br />
A first, green one at λ 1 =543,5nm<br />
was unfocussed to yield a spot size on<br />
mm 2 scale on the silver film while the<br />
second one at λ 2 = 632.8 nm was tightly<br />
focused into a ~10 µm diameter spot at<br />
the silver film. The angle of incidence<br />
of the red beam was chosen so that it<br />
excited the silver-air surface plasmon<br />
by phase matching the parallel (to the<br />
sample interface) component of wavevector<br />
of the incident light to that of the<br />
surface plasmon. In plasmonics this<br />
phase matching technique is well known<br />
as the Kretschmann configuration [4].<br />
The angle of incidence of the green laser<br />
was likewise chosen to excite<br />
Figure 1. Schematic of the experiment: a silver film evaporated on a glass prism was<br />
illuminated by two lasers. The green one acts as a pilot for scanning a tapered optical fiber<br />
in the near-field of the silver film while the red one excites the silver-air surface plasmon<br />
in Kretschmann configuration.<br />
<strong>Photoniques</strong> <strong>113</strong> I www.photoniques.com 33
PIONEERING EXPERIMENT<br />
SURFACE plasmon imaging<br />
a)<br />
b)<br />
surface plasmons at the silver-air interface<br />
at that wavelength. An optical<br />
probe, obtained by tapering an optical<br />
fiber, was brought into the optical<br />
near field of the metal film in order<br />
to ‘collect the surface waves’ (i.e. by<br />
scattering the surface-bound optical<br />
field of the surface plasmons to photons<br />
travelling up the tapered optical<br />
fiber) while scanning the metal film<br />
with help of a home-made stack of<br />
piezoelectric tubes.<br />
In this configuration, the nearfield<br />
probe simultaneously detects<br />
signals coming from the two lasers<br />
at 632.8 nm and 543.5 nm. A fiber optic<br />
coupler then separates the signal<br />
in two arms. On one arm, a spectral<br />
Figure 2. a) PSTM image of the optical near field intensity<br />
of the incident beam, λ 1 = 543.5 nm, on a simple prism<br />
illuminated under total internal reflection. b) PSTM<br />
image recorded at λ 2 = 632.8 nm at the surface plasmon<br />
excitation angle for red light on a section of the same<br />
prism covered by a 50nm thin silver film. The right side<br />
of the image displays a clear exponentially decaying tail<br />
explicitly demonstrating the propagation and damping<br />
of the surface plasmon. All images are 40 µm x 40 µm.<br />
Figure 3. a) Scheme of the experiment. A semiinfinite<br />
thin gold film of thickness h=55 nm is vacuum<br />
deposited onto a glass prism. The illumination is carried<br />
out at various incident angles θ, by a collimated laser<br />
beam preliminary linearly polarized. The optical signal<br />
is collected via the probe and a photomultiplier tube<br />
(PMT). b) PSTM image operating in a constant intensity<br />
mode for an angle of incidence of 52°<br />
filter selected the green laser which<br />
acts as a pilot for driving a feed-back<br />
loop allowing the probe to scan the<br />
surface without touching it. For this<br />
reason, the green laser spot is large<br />
(mm scale) in order to generate a<br />
surface intensity distribution on<br />
the topside of the silver film that is<br />
(near-) constant on the ~10µm scale<br />
of the surface plasmon propagation<br />
length. The green signal is used as<br />
the input signal for the feedback<br />
loop of the piezoelectric scanners<br />
to allow for scanning the silver film<br />
at a constant height. On the second<br />
arm, the red laser exciting the surface<br />
plasmon is filtered out and then<br />
sent to a photomultiplier while the<br />
a)<br />
b)<br />
34 www.photoniques.com I <strong>Photoniques</strong> <strong>113</strong>
SURFACE plasmon imaging<br />
PIONEERING EXPERIMENT<br />
This was the first direct observation of the<br />
propagation of a surface plasmon on top of a metal<br />
film by near- field imaging paving the way to many<br />
other achievements and realizations in this field and<br />
development of commercial near-field microscopes<br />
for studying the optical near-field at nanoscale.<br />
probe is scanning the surface. At 632.8<br />
nm, the typical images reported in [5]<br />
are displayed in Fig. 2. It shows the<br />
original near-field pictures obtained<br />
in the same conditions on a section<br />
of the glass slide without the silver<br />
film (Fig.2a) and with the silver film<br />
(Fig.2b). Without the silver film, the<br />
measured laser spot is approximately<br />
circular with a ~ 10 µm diameter, while<br />
with the silver film the right side of the<br />
imaged spot appears elongated with an<br />
SURFACE PLASMON POLARITON<br />
exponential decay directly mapping<br />
the surface plasmon excitation, propagation<br />
and attenuation.<br />
From the image of Fig. 2b) the<br />
propagation length was measured<br />
to be 13.6µm, which is less than that<br />
predicted for a thin silver film of this<br />
thickness. The difference was attributed<br />
to re-radiation of the surface<br />
plasmon back into the prism as it propagates,<br />
contamination of the silver<br />
surface with a thin, optically<br />
A surface plasmon polariton (SPP) is an electromagnetic excitation<br />
that propagates in a wave like fashion along the planar interface<br />
between a metal and a dielectric medium. Thus, a SPP is a surface<br />
electromagnetic wave, whose electromagnetic field is confined to<br />
the near vicinity and whose amplitude decays exponentially with<br />
increasing distance into each medium from the interface of the<br />
dielectric–metal interface. For a film deposited on glass, plasmons<br />
at each interface can exist.<br />
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<strong>Photoniques</strong> <strong>113</strong> I www.photoniques.com 35
PIONEERING EXPERIMENT<br />
SURFACE plasmon imaging<br />
dissipative silver sulphide layer and<br />
a possible angular shift between<br />
the theoretical and actual angle of<br />
incidence. This was the first direct<br />
observation of the propagation of a<br />
surface plasmon on top of a metal<br />
film by near- field imaging paving the<br />
way to many other achievements and<br />
realizations in this field and the development<br />
of commercial near-field<br />
microscopes for studying the optical<br />
near-field at nanoscale.<br />
However a metallic thin film has<br />
two interfaces and further studies<br />
were then conducted to explore the<br />
surface plasmon buried at the metal-glass<br />
interface, which is not excited<br />
in Kretschmann configuration.<br />
BURIED SURFACE<br />
PLASMON OBSERVATION<br />
In this second experiment, a semi-infinite<br />
metallic film was deposited<br />
on glass prism as shown in<br />
Fig. 3. It is noteworthy that here,<br />
gold was preferred to silver to avoid<br />
sulfurization. Under collimated illumination,<br />
the edge of the metal<br />
film scatters the incident laser and<br />
generates both the metal-air and<br />
the metal-glass surface plasmons.<br />
First measurements in this configuration<br />
were reported in [6] which was<br />
employing the same laser for exciting<br />
surface plasmons as well as for driving<br />
the piezoelectronic scanners through<br />
a feedback loop. In this configuration,<br />
the height of the probe during the scan<br />
was modulated by the detected light<br />
intensity. Recorded near-field images<br />
showed both an exponential decay related<br />
to the propagation and damping<br />
of the gold:air surface plasmon and<br />
but also the presence of oscillations<br />
whose period corresponds to an interference<br />
between the incident light and<br />
the gold:air plasmon. These results<br />
were in very good agreement with numerical<br />
simulations. However, these<br />
latter also predicted that interferences<br />
between the glass-to-metal plasmon<br />
and the incident beam should also be<br />
visible in the measurements but was<br />
not observed experimentally. This was<br />
finally achieved by Brissinger et al. [7]<br />
Figure 4. IInterference periods Λ i in near-field<br />
images obtained in the experiment described in<br />
Fig.3a by varying the angle of incidence. Λ 1 and Λ 2<br />
are associated with the interferences of the incident<br />
wave and the plasmonic waves, respectively at the<br />
m/a and the m/g interfaces. Λ 3 is associated with<br />
the interferences between both surface plasmon<br />
waves and Λ 4 between the incident wave and the<br />
back reflection at the prism/air interface. The solid<br />
and dotted lines are the values from the numerical<br />
simulations and the crosses are recovered from the<br />
near-field optical images.<br />
If the photon scanning<br />
tunneling microscope in<br />
constant optical intensity<br />
mode is no longer used, it<br />
has nevertheless allowed the<br />
direct and first imaging of<br />
the surface plasmon excited<br />
at oblique incidence in<br />
Kretschmann configuration.<br />
REFERENCES<br />
[1] R.C. Reddic, R.J. Warmack, T.Ferrel, Phys. Rev. B 39,767-770 (1989)<br />
[2] D. Courjon., K. Saraeyeddine ., M. Spajer, Opt. Commun. 71, 23 (1989)<br />
[3] A. Zayats, I. Smolyaninov , A. Maradudin, Phys. Rep. 408, 131 – 314 (2005)<br />
[4] E. Krestschman, H. Rather, Z. Naturforsch, A23, 2135 (1968)<br />
[5] P. Dawson et al, Phys. Rev. Lett. 72, 2927 (1994)<br />
[6] L. Salomon et al., Phys. Rev B 65, 125409 (2002)<br />
[7] D. Brissinger et al, Opt. Express 19, 17750 (2011)<br />
many years after, benefiting from<br />
a shear-force feedback for driving<br />
the near-field probe with an improved<br />
reliability.<br />
At that point, the angle of incidence<br />
was tuned from 30° to 60° and both surface<br />
plasmons were finally visible in<br />
the near-field images. Interferences<br />
were in very good agreement with<br />
numerical predictions. It should be<br />
noted that the wavector of the buried<br />
surface plasmon, that of the metal:<br />
glass interface, was recovered experimentally<br />
(1.63±0.08) ω/c quantitatively<br />
compared to its theoretical value<br />
of 1.59ω/c.<br />
CONCLUSION<br />
If the photon scanning tunneling<br />
microscope in constant optical intensity<br />
mode is no longer used, it<br />
has nevertheless allowed the direct<br />
and first imaging of the surface plasmon<br />
excited at oblique incidence in<br />
Kretschmann configuration As such<br />
these experiments have paved the way<br />
to the emergence of plasmonics as<br />
an entire field of research which has<br />
enabled applications in optoelectronics,<br />
medicine, chemistry, or sensing<br />
to cite just a few. In addition, current<br />
improvements in the stability of feedback<br />
loops, piezoelectric scanners,<br />
nanotechnologies used for shaping<br />
near-field probes, as well as recent<br />
developments in laser technologies<br />
have allowed the near-field microscope<br />
to move beyond the walls of the<br />
laboratory and to become a standard<br />
imaging tool for materials science.<br />
36 www.photoniques.com I <strong>Photoniques</strong> <strong>113</strong>
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There is a strong impetus to transform<br />
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frequency combs and ultra-stable lasers<br />
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And – an application worth highlighting –<br />
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The transition frequency in optical<br />
clocks is on the order of hundreds of<br />
terahertz, corresponding to the visible<br />
or the ultraviolet region of the<br />
electromagnetic spectrum. Counting<br />
these optical frequencies is only possible<br />
using a frequency comb [1], a<br />
mode-locked laser with evenly spaced<br />
frequency modes within its optical spectrum.<br />
When referenced to a CW laser<br />
which is stabilized to a high-finesse<br />
optical cavity, the bandwidth of the<br />
comb lines narrows down to below 1<br />
Hertz [2], corresponding to a stability<br />
of 10 -15 or better. The newest generation<br />
of optical atomic clocks enabled<br />
by this technology reach an accuracy of<br />
10 -18 [3], two orders of magnitude higher<br />
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Menlo Systems' FC1500-Quantum is<br />
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frequency comb. It provides<br />
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The low phase noise obtained on the<br />
comb-disciplined CW lasers is essential<br />
for coherent gate manipulation in many<br />
atom optical quantum computing schemes<br />
and for fast and high-fidelity gate<br />
operations. The laser light is delivered<br />
via optical fiber to the "physics package"<br />
consisting of vacuum chamber with all<br />
the necessary optics and electronics<br />
components and the atoms. Labs no longer<br />
need to undergo the time consuming<br />
Figure: The hyperfine<br />
transitions in strontium (Sr)<br />
atoms with the ultra-narrow<br />
clock transition at 698.4 nm<br />
(upper part). A commercial<br />
FC1500-Quantum system for<br />
optical clock applications<br />
contains an ultra-stable laser<br />
transferring its spectral purity<br />
onto an optical frequency<br />
comb and all other lasers<br />
which are also locked to the<br />
comb (lower part).<br />
process of designing and building their<br />
own ultra-stable lasers. Eventually, the<br />
comb itself has two purposes: It acts as<br />
reference for all the lasers to maintain<br />
their narrow linewidth, and it is the<br />
clockwork that transfers the optical<br />
frequency’s spectral purity to the microwave<br />
region, or to a different optical<br />
frequency [4].<br />
CONTACT:<br />
Menlo Systems GmbH<br />
Bunsenstraße 5<br />
82152 Martinsried, Germany<br />
Phone: +49 89 189166 0<br />
Fax: +49 89 189166 111<br />
sales@menlosystems.com<br />
www.menlosystems.com<br />
REFERENCES<br />
[1] J. Reichert et al., Opt. Commun. 172,<br />
59 (1999)<br />
[2] R. W. P. Drever et al., Appl. Phys. B. 31,<br />
97 (1983)<br />
[3] E. Oelker et al., Nat. Photonics 13,<br />
714 (2019)<br />
[4] M. Giunta et al., Nat. Photonics 14,<br />
44 (2020)<br />
<strong>Photoniques</strong> <strong>113</strong> I www.photoniques.com 37
FOCUS<br />
OPTICAL FREQUENCY combs<br />
INTERFEROMETRY<br />
WITH OPTICAL FREQUENCY COMBS<br />
///////////////////////////////////////////////////////////////////////////////////////////////////<br />
Nathalie PICQUÉ 1,* , Theodor W. HÄNSCH 1,2<br />
1<br />
Max-Planck Institute of Quantum Optics, Garching, Germany<br />
2<br />
Ludwig-Maximilian University of Munich, Faculty of Physics, Munich, Germany<br />
*nathalie.picque@mpq.mpg.de<br />
https://doi.org/10.1051/photon/2021<strong>113</strong>38<br />
A<br />
frequency comb [1]<br />
is a spectrum of narrow<br />
evenly spaced<br />
laser lines, whose<br />
absolute frequency<br />
can be known within<br />
the accuracy of an atomic clock<br />
(Insert 1). Initially invented for precision<br />
frequency metrology in the<br />
simple hydrogen atom, frequency<br />
combs have become key to a variety<br />
of applications, from the generation<br />
of attosecond pulses to the calibration<br />
of astronomical spectrographs.<br />
They are enabling ground-breaking<br />
approaches to interferometry with applications<br />
as diverse as spectroscopy<br />
[2], distance metrology [3], or holography<br />
[4]. This short article recounts the<br />
principle and applications of frequency<br />
comb interferometry.<br />
FREQUENCY COMBS<br />
AND INTERFEROMETRY<br />
Early on, frequency combs have been<br />
coupled to known interferometers.<br />
A frequency comb, a spectrum of equidistant<br />
phase-coherent laser lines, can be harnessed for<br />
new approaches to interferometry. The dual-comb<br />
interferometer exploits the time-domain interference<br />
between two combs of slightly different line spacing.<br />
The instrument, which performs direct frequency<br />
measurements over a broad spectral bandwidth,<br />
opens up new perspectives in applications such as<br />
spectroscopy, distance metrology or holography.<br />
For example, if a frequency comb<br />
is used as a light source before a<br />
scanning Michelson interferometer,<br />
Fourier transform spectroscopy<br />
sees its measurement speed,<br />
sensitivity precision and accuracy<br />
dramatically improved. Distance<br />
measurements using a spectrally-dispersed<br />
static Michelson interferometer<br />
-or a scanning Michelson<br />
interferometer- benefits from the<br />
many comb lines for improved precision<br />
and large ambiguity range.<br />
A comb of narrow line spacing can<br />
be frequency filtered in a Fabry<br />
interferometer, of matching but<br />
larger free spectral range, to generate<br />
a comb of large repetition frequency,<br />
suited to the calibration of<br />
astronomical spectrographs. The<br />
Fabry-Pérot resonator can also be<br />
used as an enhancement cavity, for<br />
extreme-ultraviolet high-harmonic<br />
generation or for absorption<br />
spectroscopy with long absorption<br />
paths.<br />
DUAL-COMB INTERFEROMETERS<br />
More interestingly, frequency<br />
combs have enabled a new class of<br />
interferometers, called dual-comb<br />
interferometers. Two frequency<br />
comb generators emit trains of<br />
pulses at slightly different repetition<br />
frequencies, f rep and f rep +Δ f rep ,<br />
respectively. The two beams of the<br />
two combs are combined on a beam<br />
splitter and their interference is<br />
measured on a fast photodetector as<br />
a function of time. In the time domain<br />
(Fig.1a), the pulses from one<br />
laser walk through the pulses from<br />
the second laser, with a time separation<br />
that automatically increments<br />
from pulse pair to pulse pair by an<br />
amount Δ f rep / f rep<br />
2<br />
(e.g. 10 - 14 s). This<br />
way, optical delays from 0 to 1/f rep<br />
are repetitively scanned without<br />
moving parts. Akin to a sampling<br />
oscilloscope, the periodic optical<br />
waveforms are stretched in time<br />
by a factor f rep /Δf rep (e.g. 10 6 ), and<br />
they can be electronically recorded<br />
38 www.photoniques.com I <strong>Photoniques</strong> <strong>113</strong>
OPTICAL FREQUENCY combs<br />
FOCUS<br />
and digitally processed. In the frequency<br />
domain (Fig.1b), pairs of<br />
optical comb lines, one from each<br />
comb, produce radio-frequency<br />
beat notes on the detector, forming<br />
a frequency comb of line spacing<br />
Δf rep in the radio frequency domain.<br />
Optical frequencies nf rep +f 0 are thus<br />
down-converted into radio frequencies<br />
nΔf rep +Δf 0 .<br />
The principle of dual-comb<br />
interferometry may be reminiscent<br />
of that of asynchronous<br />
optical sampling. A significant<br />
difference, though, is that mutual<br />
coherence between the two combs<br />
is required for an interferometric<br />
measurement. As a rule of thumb,<br />
many applications require a relative<br />
stability on the order of λ/100<br />
to achieve high fringe contrast. At a<br />
wavelength of 1 µm, this means that<br />
the timing jitter between pairs of<br />
pulses must be kept smaller than 30<br />
as. Learning how to control and minimize<br />
the relative timing and phase<br />
fluctuations between two frequency<br />
comb generators has been at the center<br />
of significant efforts in the early<br />
days of dual-comb interferometry.<br />
A number of solutions, of various<br />
complexity and performance, now<br />
enable to experimentally maintain<br />
mutual coherence and/or to compensate<br />
for the (residual) fluctuations<br />
through analog or digital processing.<br />
Experimentally, coherent averaging<br />
over more than half an hour<br />
has become feasible, illustrating the<br />
degree of control achieved for a dualcomb<br />
system.<br />
Figure 1. a. Time-domain principle<br />
of dual-comb interferometry (in<br />
the situation where an absorbing<br />
sample is in the beam path of<br />
comb 1). b. Frequency-domain<br />
principle c. Sketch of a typical dualcomb<br />
spectrometer. c.: Adapted<br />
from "Mid-IR Spectroscopic<br />
Sensing," Optics & Photonics News<br />
30(6), 26-33 (2019). https://doi.<br />
org/10.1364/OPN.30.6.000026<br />
<strong>Photoniques</strong> <strong>113</strong> I www.photoniques.com 39
FOCUS<br />
OPTICAL FREQUENCY combs<br />
FREQUENCY COMB<br />
1/f rep<br />
φ<br />
A frequency comb, a spectrum of<br />
equidistant phase-coherent spectral<br />
lines, is commonly generated by<br />
a mode-locked laser. Such a laser<br />
emits a periodic train of pulses at a<br />
frequency f rep . The periodicity applies<br />
not only to the pulse envelopes, but to<br />
the whole electric field of the pulses,<br />
including their optical phase, apart<br />
from a reproducible slip φ of the<br />
phase of the electromagnetic carrierwave<br />
relative to the pulse envelope<br />
from pulse to pulse. Such phase slips<br />
occur in a laser owing to dispersion<br />
in the cavity. As a consequence, the<br />
frequency f n of a comb line writes:<br />
f n = n f rep + f 0 where n is an integer and<br />
f 0 = f rep φ/ 2π is the carrier-envelope<br />
offset frequency. Both f rep and f 0 can<br />
be measured and controlled against<br />
an atomic clock. Therefore, frequency<br />
combs act like rulers in frequency<br />
space that can for instance be used to<br />
measure a large separation between<br />
two different optical frequencies in<br />
terms of the countable signal of the<br />
pulse repetition frequency. Frequency<br />
combs can conveniently link optical<br />
and microwave frequencies and<br />
enable absolute measurements of<br />
any frequency. Frequency combs have<br />
revolutionized the way the frequency<br />
of light is measured and are now<br />
common equipment in all frequency<br />
metrology-oriented laboratories.<br />
They have paved the way for the<br />
creation of all-optical clocks with<br />
a precision that approaches the<br />
10 -18 level.<br />
2φ<br />
f rep<br />
nf rep +f 0<br />
time<br />
frequency<br />
Owing to the absence of moving<br />
parts, one of the first features of dualcomb<br />
interferometers that attracted<br />
interest has been the ability to perform<br />
fast measurements. Moreover, the sensitivity<br />
is further enhanced. is further<br />
enhanced by the use of coherent light<br />
sources. Remarkably, a dual-comb<br />
interferometer can simulate a mirror<br />
moving at 10 km.s -1 , the escape velocity<br />
from earth. The beat notes between<br />
pairs of comb lines are mapped in<br />
the radio-frequency domain where<br />
the 1/f noise in the detector signal can<br />
be greatly reduced, and a million-fold<br />
improvement in the acquisition speed<br />
of a spectrum has been demonstrated.<br />
Furthermore, all the spectral elements<br />
are simultaneously measured on a<br />
single photodetector, like in other interferential<br />
spectrometers. This multiplexed<br />
recording grants excellent<br />
overall consistency of the spectral<br />
measurements and applicability in<br />
any spectral regions. As research progressed,<br />
other distinguishing assets<br />
have been highlighted, offering interferometry<br />
a unique and novel host of<br />
powerful features, which are summarized<br />
below for the key applications.<br />
DUAL-COMB SPECTROSCOPY<br />
The main application of dual-comb<br />
interferometers has been spectroscopy<br />
over broad spectral bandwidths, in<br />
particular of molecules [2]. Dual-comb<br />
spectroscopy is a new form of Fourier<br />
transform spectroscopy, which has<br />
been over the past 50 years the overriding<br />
tool in molecular spectroscopy<br />
and analytical chemistry. If a sample is<br />
present on the beam path of one of the<br />
combs (Fig.1c), the interference signal<br />
will record the signature of the absorption<br />
and dispersion experienced by<br />
the sample. The dual-comb spectrometer<br />
mimics a scanning Michelson<br />
interferometer by sampling the freeinduction<br />
of the molecules over the<br />
range of optical delays. One uses then<br />
a harmonic-analysis tool, the Fourier<br />
transformation, to get the spectrum.<br />
In a single recording, the spectrum is<br />
sampled by the discrete comb lines<br />
and therefore the spectral resolution<br />
is limited to the comb line spacing<br />
f rep . As most combs can be precisely<br />
controlled, it is however possible to<br />
measure a sequence of spectra with<br />
different comb-line positions and to<br />
interleave the spectra a posteriori to<br />
reach a resolution ultimately limited<br />
by the width of the optical comb lines.<br />
Initially developed in the near-infrared<br />
spectral region, where frequency<br />
comb generators are conveniently<br />
available, dual-comb spectroscopy is<br />
now efficient in the mid-infrared spectral<br />
region at wavelengths as long as<br />
5 µm (Fig. 2). It is emerging at longer<br />
wavelengths in the mid-infrared and<br />
THz ranges and at shorter wavelengths<br />
in the visible range. The ultraviolet domain<br />
is still mostly unexplored, due to<br />
outstanding instrumental challenges<br />
for generating low-noise frequency<br />
combs of a broad span and implementing<br />
ultra-stable interferometers<br />
at short-wavelengths.<br />
To broadband spectroscopy, dualcomb<br />
interferometers add the remarkable<br />
features of the interrogation<br />
of the sample by laser lines of narrow<br />
width which provides a negligible<br />
contribution of the instrumental lineshape,<br />
as well as the calibration of the<br />
frequency scale within the accuracy<br />
of an atomic clock. These features<br />
are not available from any dual-comb<br />
interferometers though. They derive<br />
from the use of frequency combs of<br />
narrow and stable optical lines, referenced<br />
to a radio-frequency clock or to<br />
an ultra-stable optical frequency standard.<br />
Initially, it was not clear which<br />
light sources should be used and a variety<br />
of comb generators have been<br />
tested, from the metrology-grade<br />
fiber mode-locked lasers stabilized to<br />
accurate optical references to simple<br />
electro-optic modulators or quantum<br />
cascade lasers that are free-running.<br />
Over the years, the fiber-laser technology<br />
has considerably evolved towards<br />
ease of use, compactness, low noise<br />
and ultra-high stability. Fiber laser<br />
have become the most suited tools for<br />
realizing the potential of dual-comb interferometry.<br />
Free-running frequency<br />
combs do not enable to benefit from<br />
40 www.photoniques.com I <strong>Photoniques</strong> <strong>113</strong>
OPTICAL FREQUENCY combs<br />
FOCUS<br />
the above-mentioned advantages,<br />
although they might still be valuable<br />
tools in some niche applications.<br />
Although linear absorption spectroscopy<br />
has been predominantly<br />
explored, frequency combs synthesizers<br />
based on mode-locked lasers<br />
involve intense ultrashort pulses that<br />
can generate nonlinear phenomena at<br />
the sample. Using this, various schemes<br />
of nonlinear Raman spectroscopy<br />
and imaging and of Doppler-free<br />
two-photon excitation spectroscopy<br />
[5] have open up new opportunities<br />
for nonlinear spectroscopy over broad<br />
spans. One can expect that this line of<br />
research will develop further in the<br />
near future, owing to the progress in<br />
high-power laser amplifiers at high<br />
repetition frequency. Finally, the system<br />
is not limited to two frequency<br />
combs and recent proof-of-principle<br />
demonstrations explore the intriguing<br />
potential of using three combs<br />
for multidimensional spectroscopy,<br />
such as photon echoes [6].<br />
DUAL-COMB RANGING<br />
AND HOLOGRAPHY<br />
Another successful application of<br />
dual-comb interferometers involves<br />
distance measurements and<br />
ranging [3]. The dual-comb scheme<br />
combines the time-of-flight and interferometric<br />
approaches to deliver<br />
absolute distance measurements<br />
over an extended ambiguity range.<br />
One of the most exciting recent<br />
Figure 2. Mid-infrared<br />
experimental dualcomb<br />
spectrum,<br />
shown with different<br />
magnifications. (a.-c.)<br />
82000 comb lines<br />
spaced by 100 MHz,<br />
centered at 92 THz<br />
(3.2 µm), were<br />
measured within<br />
29 minutes. In b.<br />
an absorption<br />
transition of ethylene<br />
attenuates the comb<br />
lines. Reproduced<br />
from “Mid-infrared<br />
feed-forward dualcomb<br />
spectroscopy,”<br />
Proc. Natl. Acad.<br />
Sci. USA 116, 34549<br />
(2019). https://<br />
doi.org/10.1073/<br />
pnas.1819082116<br />
trends, though, has been to replace<br />
the single photodetector by a camera<br />
sensor. As many spectra as there are<br />
detector pixels can be simultaneously<br />
measured. Dual-comb interferometers<br />
move digital holography<br />
<strong>Photoniques</strong> <strong>113</strong> I www.photoniques.com 41
FOCUS<br />
OPTICAL FREQUENCY combs<br />
forward by recording simultaneously<br />
thousands of holograms [4], one per<br />
comb line (Fig.3), and they show an<br />
intriguing potential for reaching new<br />
frontiers in scan-free wavefront reconstruction.<br />
By digital processing,<br />
each hologram provides a 3-dimensional<br />
image of the scene, where the<br />
focusing distance can be chosen at<br />
will. Combining all these holograms<br />
renders the geometrical shape of the<br />
3-dimensional object with very high<br />
precision and without ambiguity.<br />
At the same time, other diagnostics<br />
can be performed by the frequency<br />
combs: in the first proof of concept,<br />
molecule-selective imaging of a<br />
cloud of ammonia vapor was simultaneously<br />
demonstrated.<br />
CONCLUSION<br />
Dual-comb interferometry has been<br />
developed over the past 15 years and<br />
now involves a vibrant research community<br />
of more than 200 research<br />
groups. The dual-comb interferometer<br />
provides a unique combination<br />
of broad-spectral-bandwidth, long<br />
temporal coherence, absence of<br />
moving parts and multi-heterodyne<br />
read-out which offers interferometry<br />
a revolutionary host of features –<br />
frequency multiplexing, resolution,<br />
accuracy, precision, speed. Other<br />
Figure 3: In dual-comb holography, as<br />
many holograms as there are comb lines<br />
are generated.<br />
emerging applications include analog-to-digital<br />
conversion, two-way<br />
time and frequency transfer, vibrometry,<br />
etc.<br />
Excitingly, the technique is still<br />
far from realizing its full potential. A<br />
remarkable difference with respect<br />
to other types of interferometers is<br />
that the dual-comb interferometer<br />
performs direct time/frequency<br />
measurements. With a dispersive<br />
or interferential instrument, the<br />
resolving power is the ratio of the<br />
maximum path difference to the<br />
wavelength, hence the bulky instruments<br />
for high resolution. With<br />
REFERENCES<br />
a dual-comb interferometer, it becomes<br />
the ratio of the maximum<br />
optical retardation to the period of<br />
the optical wave. Dual-comb spectroscopy<br />
is therefore the only technique<br />
that can, for any spans and any<br />
spacing, potentially reach a resolution<br />
equal to the comb line spacing,<br />
freed from geometric limitations<br />
and aberrations. This apparently<br />
simple but fundamental distinction,<br />
first pointed out in [2], has not<br />
been exploited yet in experiments<br />
that would go significantly beyond<br />
the state of the art. On an applied<br />
touch, the path is open to integrated<br />
chip-scale ultra-miniaturized devices<br />
that combine high resolution<br />
and broad spectral bandwidth.<br />
Using III-V-on-silicon mode-locked<br />
lasers in the telecommunication<br />
region, an on-chip spectroscopy laboratory<br />
for gas sensing is already<br />
underway using battery-operated<br />
devices of a footprint smaller than<br />
1 mm 2 [7]. The most exciting prospect<br />
is nevertheless that of merging<br />
frequency metrology and broadband<br />
spectroscopy: with Doppler-free<br />
dual-comb spectroscopy, the envisioned<br />
improvement in accuracy is<br />
expected similar to that achieved in<br />
the 1990s when going from optical<br />
wavelength metrology to frequency<br />
measurements. As the technique is<br />
able to measure very faint signals,<br />
down to the single-photon level,<br />
single atoms and molecules may<br />
become observable over a broad<br />
span with an unmatched precision,<br />
opening up new strategies for tests<br />
of fundamental physics.<br />
[1] T. Udem, R. Holzwarth, T.W. Hänsch, Nature 416, 233 (2002)<br />
[2] N. Picqué, T.W. Hänsch, Nat. Photon. 13, 146 (2019)<br />
[3] I. Coddington, W.C. Swann, L. Nenadovic et al. Nat. Photon. 3, 351 (2009)<br />
[4] E. Vicentini, Z. Wang, K. Van Gasse et al. Nat. Photon. 15, 890 (2021)<br />
[5] S.A. Meek, A. Hipke, G. Guelachvili et al. Opt. Lett. 43, 162 (2018)<br />
[6] J.W. Kim, J. Jeon, T.H. Yoon et al., J. Opt. Soc. Am. B 39, 934 (2022)<br />
[7] K. Van Gasse, Z. Chen, E. Vicentini, et al. preprint at arXiv:2006.15<strong>113</strong> (2020)<br />
42 www.photoniques.com I <strong>Photoniques</strong> <strong>113</strong>
OPTICAL FREQUENCY combs<br />
FOCUS<br />
OPTICAL FREQUENCY<br />
COMBS FOR<br />
ATOMIC CLOCKS<br />
AND CONTINENTAL<br />
FREQUENCY<br />
DISSEMINATION<br />
/////////////////////////////////////////////////////////////////<br />
Rodolphe LE TARGAT*, Paul-Eric POTTIE, Yann LE COQ<br />
LNE-SYRTE, Observatoire de Paris, Université PSL, CNRS, Sorbonne Université,<br />
61 Avenue de l’Observatoire, F-75014, Paris, France<br />
*Rodolphe.LeTargat@obspm.fr<br />
https://doi.org/10.1051/photon/2021<strong>113</strong>43<br />
This is an Open Access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0),<br />
which permits unrestricted use, distribution, and reproduction in any medium, provided<br />
the original work is properly cited.<br />
Nearly 25 years ago, Optical<br />
Frequency Combs (OFCs)<br />
have revolutionized practically<br />
from one day to the<br />
next the metrology of optical<br />
frequencies. Before that, only<br />
a few labs in the world could<br />
connect the optical (~10 15 Hz)<br />
and the microwave (~10 10 Hz)<br />
domains, at the price of the<br />
complex operation of a chain of multiple non-linear frequency<br />
conversions. In contrast, OFCs provided a tabletop<br />
instrument, compact, reliable and operable by a single<br />
scientist. Unmistakeable sign: only a few years had passed<br />
before pioneering inventors of OFCs Theodor Hänsch and<br />
John Hall were awarded the 2005 Nobel prize in Physics,<br />
together with Roy Glauber.<br />
<strong>Photoniques</strong> <strong>113</strong> I www.photoniques.com 43
FOCUS<br />
OPTICAL FREQUENCY combs<br />
The principle of operation<br />
relies on a femtosecond<br />
pulsed laser,<br />
featuring a spectrum<br />
of typically ~100 000<br />
phase-locked modes<br />
contributing simultaneously. The<br />
field can therefore be defined as:<br />
iφn (t)<br />
E comb (t) = ∑E n e<br />
n<br />
The average value of each phase<br />
φ n (t) can be described by 2π(nf rep<br />
+ f 0 )t + φ n (0), where f rep is the repetition<br />
rate, f 0 the offset frequency,<br />
n an integer number and φ n (0) a<br />
mode-dependent offset . The Fourier<br />
transform of this field shows that a<br />
comb is strictly equivalent to a ruler<br />
in the frequency space: while f 0<br />
is the offset of the first tooth of the<br />
ruler, f rep is the difference between<br />
adjacent teeth. Very importantly, the<br />
coherence is preserved throughout<br />
the whole spectrum, which makes<br />
it a unique tool to connect reliably<br />
very different spectral domains.<br />
Beatnotes between an oscillator at<br />
ν osc and the comb feature a frequency<br />
at f osc = ν osc - n osc f rep - f 0 , which leads<br />
to a complete determination of ν osc<br />
provided parameters f osc , n osc , f rep and<br />
f 0 are measured accurately.<br />
The advent of OFCs renewed<br />
considerably the interest of the Time<br />
and Frequency community in the<br />
metrology of optical atomic transitions.<br />
Even though the definition of<br />
the SI second had been based on the<br />
hyperfine transition of Cs since 1967,<br />
researchers early realized that the use<br />
of atomic transitions in the optical<br />
domain would dwarf radically most<br />
of possible systematic shifts affecting<br />
clock frequencies. Nevertheless,<br />
if single ion clocks had been under<br />
development since the early 80’s, the<br />
very cumbersome connection to the SI<br />
second was considerably hindering the<br />
perspective of a new definition. OFCs<br />
changed completely this perspective,<br />
and it is about at the same time, in 2003,<br />
that a researcher from the University<br />
of Tokyo, Hidetoshi Katori, proposed<br />
a scheme allowing the trapping and<br />
high resolution spectroscopy of many<br />
neutral atoms simultaneously. The race<br />
between optical clocks based either<br />
on single ions or neutral atoms had<br />
started and is still ongoing today: with<br />
published uncertainties down to 1×10 -18<br />
or below, instruments operated notably<br />
with Sr, Yb, Hg, Yb + , Al + or Sr +<br />
have outperformed even state-of-theart<br />
Cs clocks by more than 2 orders of<br />
magnitude. OFCs are used to compare<br />
optical clocks either to the SI second<br />
or directly one with another: the span<br />
of the comb spectrum is so large that<br />
it allows comparing clocks that are<br />
hundreds of nanometers apart. In the<br />
perspective of the roadmap for a new<br />
definition the second, aiming at 2026,<br />
possible contenders to new primary<br />
and secondary representations of the<br />
SI second are thus compared frequently<br />
and reliably in order to progressively<br />
refine, year after year, the knowledge<br />
of their frequency ratios.<br />
Progressively, the technology supporting<br />
OFCs improved and industrial<br />
devices became available. If the<br />
original mode-locked sources were<br />
Titanium-Sapphire lasers, they often<br />
missed the reliability necessary to<br />
measurements bound to last days, if<br />
not months. The alternative offered<br />
by fiber lasers in the near infrared<br />
region soon released this constraint:<br />
erbium-doped fiber laser based OFCs<br />
notably offer a mode-lock so reliable<br />
that a year of continuous operation is<br />
Figure 1. Architecture of atomic clocks,<br />
oscillators and frequency combs at SYRTE. The<br />
three operational OFCs act as a bridge between<br />
microwave and optical oscillators, probing<br />
respectively the SYRTE microwave fountains<br />
and optical lattice clocks.<br />
not an issue. More recently, research<br />
on compact combs based on micro-resonators<br />
or semiconductor systems<br />
has raised a strong interest in the community.<br />
Despite their low power and<br />
high repetition rate, making notably<br />
the measurement of f 0 challenging, the<br />
potential of devices that could be easily<br />
installed in a large range of academic<br />
or industrial applications is very appealing.<br />
Generally, the technical progress<br />
opened the door to contributions to a<br />
large variety of scientific and technical<br />
fields, way beyond frequency metrology,<br />
as detailed in reference [1]. Striking<br />
applications were for example published<br />
in molecular spectroscopy (dualcomb<br />
spectroscopy, analysis of gas<br />
sample to track pollution, analysis of<br />
human breath), astronomy (calibration<br />
of spectrograph), or distance measurements<br />
(laser ranging).<br />
At SYRTE (Systèmes de Référence<br />
Temps-Espace), the French National<br />
Metrology Institute for Time and<br />
Frequency, OFCs are used on the one<br />
hand for accurate and high resolution<br />
frequency metrology and on the<br />
other hand for the transfer of spectral<br />
purity from one frequency domain to<br />
another. In the following sections, we<br />
describe how this is applied to atomic<br />
clocks comparisons, to the construction<br />
of very low noise sources in the<br />
optical and microwave domains and<br />
to the dissemination of frequency standards<br />
on national and even international<br />
distances.<br />
ACCURATE AND HIGH RESOLUTION<br />
ATOMIC CLOCK COMPARISONS<br />
In the last 30 years, the SYRTE<br />
teams have developed and improved<br />
an ensemble of seven atomic<br />
44 www.photoniques.com I <strong>Photoniques</strong> <strong>113</strong>
OPTICAL FREQUENCY combs<br />
FOCUS<br />
Figure 2. Spectral coverage of the SYRTE combs architecture. All the relevant laser sources<br />
can be counted by at least two of the three OFCs. The connection to the 1542 nm laser<br />
is essential for the referencing of the two Er combs and of the REFIMEVE network.<br />
clocks strongly contributing to the accuracy<br />
of international timescales UTC<br />
(Coordinated Universal Time) and TAI<br />
(Temps Atomique International), and<br />
to the SI second monthly calculated<br />
by the BIPM (Bureau International des<br />
Poids et Mesures). This clock ensemble<br />
includes four microwave fountains,<br />
three based on cesium and one on rubidium,<br />
all featuring an accuracy of a<br />
few 10 -16 and regularly contributing to<br />
the steering of TAI. In addition, we are<br />
developing three optical lattice clocks<br />
operated with strontium or mercury<br />
that reach an uncertainty of a few<br />
10 -17 and already provided calibrations<br />
reports to the BIPM. This is one of the<br />
most complete sets of clocks existing in<br />
the world, and in order to compare frequently<br />
all these instruments, we have<br />
developed an ensemble of three operational<br />
OFCs. The goal of this redundancy<br />
is twofold: ensure the accuracy of the<br />
measurements, and evaluate the stability<br />
of the comparisons (figure 1)<br />
Our architecture relies on two Erbium<br />
doped fiber laser based OFCs (Menlo<br />
Systems, FC1500) featuring a spectrum<br />
in the near infrared, spanning from<br />
1 µm to 2 µm after broadening. This<br />
allows a straightforward connection to<br />
the telecommunication bands around<br />
1.5 µm, but does not permit to address<br />
directly all optical clock transitions<br />
(typically between 200 and 800 nm).<br />
Modules doubling the frequency of the<br />
combs in specific spectral windows are<br />
therefore necessary, for instance to<br />
generate teeth at 698 nm and 813 nm<br />
to connect respectively the strontium<br />
clock and lattice lasers (figures 2 and 3).<br />
This is complemented by a former generation<br />
titanium-sapphire laser based<br />
OFC, with a spectrum after broadening<br />
(500 nm to 1.1 µm) enabling the<br />
direct comparison of all SYRTE optical<br />
clocks. We chose to phase-lock all our<br />
frequency combs to a cw ultrastable<br />
laser (frequency instability below<br />
10 -15 between 0.1 and 1000 s timescales)<br />
in order to reach the so-called narrow<br />
linewidth regime: this ultrastability is<br />
transferred to each tooth of the comb,<br />
which leads to beatnotes with external<br />
oscillators that can be filtered in a narrow<br />
band. After mixing out f 0 from all the<br />
beatnotes f osc , we effectively generate a<br />
virtual comb at f 0 = 0 after isolating the RF<br />
single tone at ν osc - n osc f rep , thus rendering<br />
every following measurement insensitive<br />
to f 0 . From this point, phase-locking<br />
a single beatnote between the comb and<br />
an ultrastable laser by applying feedback<br />
to the optical length of the femtosecond<br />
laser cavity, so as to keep f osc - n osc f rep<br />
constant, is sufficient to ‘freeze’ entirely<br />
f rep and therefore the position of the<br />
comb in frequency domain. Comparing<br />
the frequency of the resulting f rep signal<br />
(in the RF or microwave domain and<br />
easily obtained by photodetection of<br />
the pulse train emitted by the femtosecond<br />
laser) with signals referenced to<br />
microwave frequency standards<br />
<strong>Photoniques</strong> <strong>113</strong> I www.photoniques.com 45
FOCUS<br />
OPTICAL FREQUENCY combs<br />
(atomic fountain clocks in particular)<br />
and to the SI second produces a<br />
high-precision measurement of the<br />
absolute frequency of optical clocks.<br />
Furthermore, by appropriate<br />
arithmetic combination of the various<br />
signals involved, it is even possible<br />
to extract directly the frequency<br />
ratio between two optical clocks without<br />
involvement of microwave standards<br />
and even independent of the<br />
residual noise of the OFC itself! [2]<br />
REFIMEVE FIBER NETWORK<br />
AND DISSEMINATION OF AN<br />
ACCURATE 1542 NM REFERENCE<br />
The research infrastructure<br />
REFIMEVE 1 is a network of optical<br />
fibers dedicated to the ultra-low noise<br />
dissemination of an ultrastable carrier<br />
at 1542 nm throughout the French<br />
territory. It provides sustainably and<br />
reliably (uptime > 85%) this infrared<br />
reference to many academic institutions<br />
and other research infrastructures,<br />
state agencies and industrials.<br />
The source of the disseminated signal<br />
is a SYRTE 1542 nm ultrastable laser,<br />
which defines the stability and the<br />
accuracy received by the end users.<br />
Both operational Erbium combs are<br />
phase locked to this laser, which in<br />
turns allows us to lock its frequency<br />
to a hydrogen maser on long (>100 s)<br />
timescales, while benefiting from the<br />
stability of a high finesse Fabry-Perot<br />
cavity on shorter timescales. The active<br />
compensation of the propagation<br />
noise in the network yields a signal at<br />
the disposal of the users featuring a<br />
stability below 2 × 10 -15 at any timescale,<br />
and an accuracy of 1 × 10 -14 on<br />
the fly, that can be pushed down to<br />
< 1 × 10 -15 on demand.<br />
International connections to similar<br />
networks have enabled comparisons<br />
on a continental scale between<br />
SYRTE and PTB (Germany, since<br />
2015), NPL (UK, since 2016), INRIM<br />
(Italy, since 2020) and soon CERN<br />
(Switzerland). All together, this is an<br />
ensemble of ~12 optical clocks that are<br />
interfaced with this European 1542 nm<br />
reference by OFCs. These instruments<br />
are frequently compared one to the<br />
Figure 3. Operational OFC ‘Er2’ at SYRTE. The<br />
comb is equipped with optical setups to form<br />
ultrastable optical beatnotes with various<br />
lasers. At the forefront, an electronic setup is<br />
being set up to generate operational low-noise<br />
microwave to replace the cryogenic sapphire<br />
oscillator in the long run.<br />
others, in order to ascertain the reproducibility<br />
of frequency ratios between<br />
the various contenders to a new definition<br />
of the second. The long term<br />
monitoring of these ratios also contributes<br />
to tests of fundamental Physics,<br />
such as the search for a possible drift<br />
of fundamental constants. Finally,<br />
in the last years, the field of Earth<br />
Sciences has expressed a growing<br />
interest in optical clocks: as their frequency<br />
is sensitive to the local gravitational<br />
potential, this allows them to<br />
contribute to the refined mapping of<br />
the geopotential and to an improved<br />
determination of the geoid (equipotential<br />
approximating the mean sea<br />
level). It is in this spirit that SYRTE<br />
started recently the development of a<br />
transportable ytterbium optical lattice<br />
clock, that will be moved in the future<br />
along the REFIMEVE 1 network and<br />
remotely compared to the stationary<br />
European clocks. This new device will<br />
be equipped with a transportable OFC<br />
in order to measure the frequency of<br />
the clock versus the 1542 nm carrier,<br />
thus opening the possibility to exploit<br />
the ~60 outputs of the network over<br />
the metropolitan territory.<br />
1<br />
Network under supervision of Université Sorbonne<br />
Paris Nord, Observatoire de Paris-PSL and CNRS<br />
TRANSFER OF<br />
SPECTRAL PURITY<br />
Beyond their measurement capacity,<br />
OFCs can also be utilized for novel<br />
applications where the excellent<br />
spectral purity of a state-of-the-art<br />
optical oscillator (cw laser) serves as<br />
a reference to create an ultra-pure<br />
radiation in an entirely different<br />
part of the electromagnetic spectrum,<br />
where high purity sources<br />
are difficult or even impossible<br />
to realize by any other technique.<br />
The idea is simply that when appropriately<br />
phase-locked to a high<br />
spectral purity source (in the optical<br />
or near-infrared domain), each<br />
tooth of the comb reproduces this<br />
spectral purity, and can be used to<br />
generate and/or phase-lock other<br />
sources in different spectral domain.<br />
Provided the phase comparison/<br />
phase-locking processes are set up<br />
with extreme care and expertise to<br />
be sufficiently low noise, the final radiation<br />
will reproduce the spectral<br />
purity of the initial state-of-the-art<br />
reference, but transferred to a different<br />
spectral domain.<br />
At SYRTE, we have first demonstrated<br />
the use of this technique to<br />
transfer the spectral purity from<br />
an ultra-stable laser in the near-infrared<br />
domain (1542 nm) to an other<br />
laser in the same domain but at a<br />
significantly different wavelength<br />
(1062 nm) [3]. We showed how, with<br />
extreme precautions, this could be<br />
realized with a minute added noise<br />
corresponding to a few 10 -18 at a 1s<br />
timescale, well below the residual<br />
frequency fluctuations of any existing<br />
ultra-stable laser. In this case,<br />
the idea is simply to directly phaselock<br />
the 1062 nm laser onto an existing<br />
tooth of the comb close to it in<br />
frequency. Significant care must,<br />
however, be taken to minimize or<br />
cancel the noise resulting from the<br />
propagation of the laser radiations<br />
in fibered or free-space optics where<br />
even minute fluctuations arising<br />
- for example - from temperature<br />
changes or air flow currents may<br />
degrade the final performance.<br />
46 www.photoniques.com I <strong>Photoniques</strong> <strong>113</strong>
OPTICAL FREQUENCY combs<br />
FOCUS<br />
In collaboration with our colleagues<br />
from LPL (Laboratoire de Physique des<br />
Lasers, CNRS/Université Sorbonne Paris<br />
Nord), we have also demonstrated a<br />
transfer of spectral purity from a 1542 nm<br />
wavelength laser to a ~10 µm wavelength<br />
radiation emitted by a Quantum Cascade<br />
Laser (QCL) [4]. In this case, an extra level<br />
of difficulty arose from the physical<br />
separations between SYRTE (hosting the<br />
1542 nm laser) and LPL (where the QCL,<br />
the OFC, the equipment to phase lock<br />
it and characterize its spectral purity,<br />
was residing). This difficulty was solved<br />
by the use of the REFIMEVE network<br />
which connects the two laboratories. In<br />
this case, the 10 µm wavelength spectral<br />
range is not directly accessible by existing<br />
OFCs, and we utilized non-linear optics<br />
(difference frequency generation) to<br />
generate a comparison signal between<br />
the near-infrared OFC and the 10 µm<br />
QCL. This technique demonstrated not<br />
only the most spectrally pure QCL-laser<br />
emission ever produced, but also provided<br />
absolute and SI-traceable referencing<br />
of its frequency.<br />
Last, in collaboration with our industrial<br />
partners from MenloSystems<br />
GmBH and Discovery Semiconductor<br />
Inc., we have demonstrated how realizing<br />
the transfer of spectral purity<br />
from a near-infrared laser (1542 nm)<br />
to the microwave domain (12 GHz) was<br />
able to produce the lowest phase-noise<br />
microwave signal ever demonstrated<br />
by any existing technique [5]. This is of<br />
large interest – in particular – for radar<br />
applications where the quest for lowphase<br />
noise carrier is one of the sources<br />
of resolution improvement. In this case,<br />
the microwave signal is simply produced<br />
by photo-detecting the train of pulses<br />
emitted by the OFC. Mathematically<br />
speaking, if the spectral purity transfer<br />
is perfect, since the emitted microwave<br />
signal is phase-coherent with the comb<br />
and the near-infrared reference laser, its<br />
phase fluctuations are imposed by those<br />
of the reference laser at 1542 nm, but<br />
with a very large division factor (of the<br />
order of 17000... the ratio between the<br />
optical and the microwave frequency).<br />
In order to be as close as possible to this<br />
mathematical ideal, an ultra-low-noise<br />
OFC was developed for this purpose by<br />
MenloSystems, and a very high linearity<br />
photo-diode was developed by Discovery<br />
Semiconductor. This is paramount for<br />
extreme performance, in particular<br />
because amplitude-fluctuations will<br />
generate phase fluctuations in the photo-detection<br />
process (even though we use<br />
special “magic point” conditions in the<br />
vicinity of which this effect is strongly reduced),<br />
and because high optical power<br />
needs to be used for photodetection in<br />
order to minimize the effect of thermal<br />
and quantum noise. We demonstrated<br />
an absolute phase noise of -173 dBc/Hz<br />
at 10 kHz and -106 dBc/Hz at 1 Hz from a<br />
12 GHz carrier.<br />
CONCLUSION<br />
We have presented how optical frequency<br />
combs, both utilized as measurement<br />
tools and as mean for transferring spectral<br />
purity between various spectral domains,<br />
can achieve an extremely high level of metrological<br />
performance and be put to use<br />
in the most demanding high-precision<br />
measurements apparatus. Extreme care<br />
must however be taken in order to achieve<br />
the best result, but as commercially available<br />
systems are constantly improving,<br />
such performances will progressively<br />
become available for non specialists in<br />
turn-key systems.<br />
REFERENCES<br />
[1] T. Fortier and E. Baumann, Commun. Phys. 2, 153 (2019)<br />
[2] H. R. Telle, B. Lipphardt, and J. Stenger, Appl. Phys. B 74, 1–6 (2002)<br />
[3] D. Nicolodi et al., Nat. Photonics 8, 219 (2014)<br />
[4] B. Argence et al., Nat. Photonics 9, 456 (2015)<br />
[5] X. Xie et al., Nat. Photonics 11, 44 (2017)<br />
<strong>Photoniques</strong> <strong>113</strong> I www.photoniques.com 47
FOCUS<br />
OPTICAL FREQUENCY combs<br />
KERR FREQUENCY COMBS:<br />
A MILLION WAYS TO FIT LIGHT<br />
PULSES INTO TINY RINGS<br />
///////////////////////////////////////////////////////////////////////////////////////////////////<br />
Aurélien COILLET 1 *, Shuangyou ZHANG 2 , Pascal DEL’HAYE 2,3<br />
1<br />
Laboratoire Interdisciplinaire Carnot de Bourgogne, 21000, Dijon, France<br />
2<br />
Max Planck Institute for the Science of Light, 91058, Erlangen, Germany<br />
3<br />
Department of Physics, Friedrich Alexander University Erlangen-Nuremberg, 91058, Erlangen, Germany<br />
* aurelien.coillet@u-bourgogne.fr<br />
Frequency combs can be generated<br />
in millimeter-sized optical<br />
resonators thanks to their ability<br />
to store extremely high light intensities<br />
and the nonlinearity of<br />
their materials. New frequencies<br />
are generated through a cascaded<br />
parametric amplification process<br />
which can result in various optical<br />
waveforms, from ultrastable pulse patterns to optical chaos. These Kerr frequency combs<br />
have been studied extensively, with a wealth of fascinating nonlinear dynamics reported, and<br />
myriads of applications being developed, ranging from precision spectroscopy and Lidars<br />
to telecom channel generators.<br />
https://doi.org/10.1051/photon/2021<strong>113</strong>48<br />
Kerr frequency combs<br />
are a novel way to<br />
generate frequency<br />
combs based on<br />
the nonlinear interaction<br />
between<br />
a single wavelength light source<br />
and a dielectric material [1]. Since<br />
such interactions are quite weak,<br />
a resonator which forces light to<br />
recirculate in the material is used,<br />
accumulating sufficient optical<br />
power until new frequencies are<br />
generated through a nonlinear process<br />
called four-wave mixing (FWM,<br />
see insert). Depending on the parameters<br />
of both the resonator and<br />
pump light used, a variety of optical<br />
patterns can be generated and used<br />
for different applications ranging<br />
from time-and-frequency metrology<br />
to building blocks for integrated<br />
photonic circuits. The temporal dynamics<br />
of the combs generation in<br />
microresonators can be described<br />
by the Lugiato-Lefever equation (a<br />
nonlinear Schrödinger equation),<br />
which predicts exceptionally well<br />
the dynamics of these systems.<br />
RECIPE FOR A KERR<br />
FREQUENCY COMB<br />
The first and most important ingredient<br />
for Kerr comb generation is<br />
undoubtedly the resonator itself.<br />
It needs to have a relatively large<br />
48 www.photoniques.com I <strong>Photoniques</strong> <strong>113</strong>
OPTICAL FREQUENCY combs<br />
FOCUS<br />
Depending on its exact frequency compared to the<br />
resonance, the pump laser light will be more or less<br />
enhanced, and all of the newly generated frequencies<br />
will interact differently with the resonances of the<br />
resonator, leading to a wide variety of circulating<br />
soliton pulse patterns.<br />
Kerr nonlinearity, but most importantly,<br />
extremely low losses, so that light<br />
can remain trapped for a long time.<br />
Typically, its quality factor Q — which is<br />
proportional to the lifetime of a photon<br />
in the cavity — has to be larger than 10 6<br />
to cross the threshold for parametric<br />
oscillations at reasonably low optical<br />
power. The next step consists in coupling<br />
as much monochromatic light<br />
as possible into the resonator using<br />
the evanescent field of a microfiber,<br />
cleaved fiber, waveguide or a prism,<br />
and scan the input frequency to excite<br />
one resonance. When the pump<br />
light within the resonator exceeds the<br />
threshold for comb generation, new<br />
frequencies are generated. The generated<br />
comb (corresponding to solitons<br />
in the time domain) is coupled out of<br />
the resonator for further analysis or<br />
for use in applications. Depending<br />
on its exact frequency compared to<br />
the resonance, the pump laser light<br />
will be more or less enhanced, and<br />
all of the newly generated frequencies<br />
will interact differently with the<br />
resonances of the resonator, leading<br />
to a wide variety of circulating soliton<br />
pulse patterns.<br />
Four-wave mixing is one of the effects of the third-order Kerr optical<br />
nonlinearity: assuming two optical waves with different frequencies<br />
ν 1 and ν 2 are co-propagating inside a Kerr material, a modulation occurs which<br />
leads to the creation of two new frequencies ν 3 and ν 4 such that energy is<br />
preserved, that is ν 1 + ν 2 = ν 3 + ν 4 . One can also use one single pump wavelength,<br />
as is the case for Kerr frequency comb generation, and such process is then<br />
called degenerate four-wave mixing. Once new frequencies have been<br />
generated though, a cascading effect can occur and all the spectral lines can<br />
interact through four-wave mixing. Since the Kerr effect is rather low in most<br />
materials, a high power is required for this conversion to be efficient. In the<br />
case of Kerr frequency comb generation, such high power is reached thanks<br />
to the cavity enhancement of the optical field at resonance. Like most Kerr<br />
effects, four-wave mixing is phase-sensitive, hence leading to inherently phaselocked<br />
frequency lines.<br />
<strong>Photoniques</strong> <strong>113</strong> I www.photoniques.com 49
FOCUS<br />
OPTICAL FREQUENCY combs<br />
THE LUGIATO-LEFEVER<br />
EQUATION<br />
The initial observation of various<br />
types of Kerr combs led to the<br />
search for an appropriate theoretical<br />
model that could describe the<br />
experimental observations. One can<br />
understand Kerr comb generation<br />
either by looking at it as a collection<br />
of spectral modes that interact<br />
through four-wave mixing [2], or<br />
rather like the propagation of light<br />
in a closed-loop, with a continuous<br />
pump wave constantly pouring energy<br />
into the system [3]. In both of<br />
these approaches, one finds that the<br />
optical field in the cavity follows the<br />
following normalized equation:<br />
ψ<br />
— τ<br />
= –(1 + iα)ψ + i|ψ| 2 ψ – i β –<br />
2<br />
2 ψ<br />
—<br />
θ<br />
2 + F<br />
The evolution of the field is hence<br />
governed by the interactions<br />
between losses, the frequency<br />
detuning between the pump and<br />
the resonance α, the normalized<br />
nonlinearity, the second order<br />
dispersion of the resonator β and<br />
the pump field amplitude F. With<br />
Figure 1. a) Simplest experimental scheme for Kerr comb generation with an amplified,<br />
single-wavelength laser source coupled to a resonator using a microfiber in this case. The<br />
output signal can directly be monitored through the same coupling microfiber. b) Examples<br />
of different Kerr combs (light and dark blue) generated in the same resonance, at the same<br />
power, but for a slightly different detuning between the cavity resonance and the pump<br />
frequency.<br />
these notations, the field ψ depends<br />
both on the long timescale<br />
time τ and the angle θ which marks<br />
the position within the resonator.<br />
This equation is a modified version<br />
of a nonlinear Schrödinger<br />
equation, with both losses and<br />
driving included, and is known as<br />
the Lugiato-Lefever equation. This<br />
equation was introduced in 1987 by<br />
Luigi Lugiato and René Lefever [4]<br />
in order to model the spontaneous<br />
formation of patterns in 2D resonant<br />
Kerr media, and a large corpus<br />
of theoretical analyses is already<br />
available. In particular, the analysis<br />
of the stability of the flat solution,<br />
that is when no other frequencies<br />
or combs are generated, predicts<br />
in which region of the parameter<br />
space interesting structures can<br />
be formed [5]. For our purpose, a<br />
Figure 2. a) Bifurcation diagram of the 1D Lugiato-Lefever equation in the anomalous<br />
dispersion regime (β < 0) with the regime of Kerr comb one can expect in each region of<br />
the parameter space. The detuning α is the difference between the laser and resonance<br />
frequency normalized by the resonance bandwidth. b) Numerical simulations of the<br />
intracavity intensity for the most notable regimes of Kerr comb. Turing rolls and soliton<br />
are stable structures, while breather and chaotic regimes vary with time. c) Comparison<br />
between experiments and the LLE model for the spectra of the generated Kerr combs, while<br />
varying the detuning along the green line in a).<br />
50 www.photoniques.com I <strong>Photoniques</strong> <strong>113</strong>
OPTICAL FREQUENCY combs<br />
FOCUS<br />
resonator has its dispersion fixed during the manufacturing<br />
process, and the only 2 parameters that<br />
remain accessible to the experimentalist are the detuning<br />
of the laser with respect to the resonance frequency<br />
α and the pump power F 2 . In the anomalous<br />
dispersion regime, a wealth of comb states can be<br />
achieved: Turing rolls appear spontaneously above<br />
a given threshold, and correspond to sine-like oscillation<br />
of the intensity. A soliton is obtained when the<br />
laser frequency is slightly higher than the resonance<br />
frequency (positive detuning), but requires a seed<br />
pulse or significant fluctuations to be generated,<br />
as this part of the parameter space is multi-stable;<br />
multiple excitations can therefore lead to multiple<br />
solitons. Increasing the pump power can lead to instability,<br />
with breathers and chaotic pulsed regimes<br />
taking place. Despite its mathematical simplicity, the<br />
Lugiato-Lefever has been able to model the experimental<br />
results obtained with various resonators with<br />
an impressive precision, as can be seen in figure 2<br />
c). The evolution from a stable comb to chaos is reproduced<br />
with high accuracy over several orders of<br />
magnitude of intracavity power. Such an accuracy<br />
stems from the very simple processes at play, and<br />
particularly the parametric gain: the Kerr effect is<br />
indeed quasi-instantaneous, with a very large spectral<br />
bandwidth, such that its modelling is very easy.<br />
BEYOND THE LUGIATO-LEFEVER EQUATION<br />
Rich cavity soliton states have been predicted by<br />
Lugiato-Lefever equation and experimentally observed<br />
in different dispersion regimes and with different<br />
pumping schemes. As shown in Fig. 3, with a single frequency<br />
pumping and anomalous dispersion, bright soliton<br />
pulses (intensity peaks on a dark background) can<br />
be generated through a well-defined balance between<br />
the Kerr nonlinearity, group velocity dispersion, cavity<br />
loss and gain [6]. Crystallized soliton structures<br />
with crystallographic defects have also been observed<br />
in this regime. These correspond to fixed patterns<br />
of solitons that are stable within the resonator and<br />
repeat after each round-trip. In contrast, the normal<br />
dispersion regime leads to dark pulses (intensity dips<br />
embedded in a high-intensity background) that arise<br />
through the interlocking of switching waves connecting<br />
the homogeneous steady states of the bi-stable<br />
cavity solutions (middle panel in the right of Fig. 3)<br />
[7]. Distinct soliton structures in the zero-dispersion<br />
regime have also been reported with asymmetrical<br />
behaviour both in the frequency domain and time domain.<br />
The zero-dispersion regime is of particular interest<br />
because it allows to investigate how higher-order<br />
dispersion affects the soliton formation dynamics. The<br />
soliton (bright or dark) formation in this regime is associated<br />
with the interlocking of abrupt changes of<br />
<strong>Photoniques</strong> <strong>113</strong> I www.photoniques.com 51
FOCUS<br />
OPTICAL FREQUENCY combs<br />
Figure 3. Different light pulses emitted from the resonators. With single frequency driving<br />
of a resonator (marked with red boxes), bright solitons and soliton crystals can be generated<br />
in anomalous dispersion regime, while dark pulses can be observed by driving at normal<br />
dispersion. Seeding with two colors of lights, dark-bright soliton bound states can be<br />
emitted from a resonator with a mutually trapped dark-bright soliton pair.<br />
power in a resonator, so-called<br />
switching waves. Most importantly,<br />
zero or small dispersion is very desirable<br />
to obtain spectrally broadband<br />
frequency combs. In addition, the<br />
coexistence and mutual locking of<br />
dark and bright pulses in the regime<br />
of normal, zero, and anomalous<br />
dispersion has been predicted by<br />
the Lugiato-Lefever equation when<br />
considering higher-order dispersion<br />
effects. Recent research revealed<br />
bound states of dark-bright solitons<br />
in a resonator through seeding two<br />
modes with opposite dispersion via<br />
two colors of light (lower panel in<br />
the right of Fig. 3) [8]. These mutually<br />
trapped dark-bright pulses lead<br />
to a light state with constant output<br />
power in the time domain but spectrally<br />
resembling frequency combs.<br />
In addition to the generation by a<br />
CW laser source, cavity solitons can<br />
be generated with even higher efficiency<br />
by synchronously pulsed-driving.<br />
The corresponding soliton<br />
dynamics are also well modelled<br />
by the Lugiato-Lefever equation.<br />
An additional way for the generation<br />
of Kerr solitons is the use of<br />
active media as part of an external<br />
cavity, which has been studied with<br />
increasing attention in the last years.<br />
This concept has the advantage of not<br />
requiring a narrowband tuneable laser<br />
source for the soliton generation.<br />
CONCLUSION<br />
Frequency combs generated through<br />
four-wave mixing in high quality<br />
factor resonators constitute a very<br />
promising alternative to modelocked<br />
lasers for many applications<br />
where compacity is required. In the<br />
past 15 years, research on this topic<br />
went from early demonstration of<br />
frequency generation to theoretical<br />
REFERENCES<br />
understanding and prediction, and<br />
to applications, including optical<br />
frequency synthesis, ultrastable<br />
microwave generation, calibration<br />
for astronomy spectroscopy, and<br />
ranging. Most of these applications<br />
make use of a single pulse revolving<br />
inside the cavity – a unique soliton<br />
– yet a myriad of other exotic and<br />
physic-rich regimes can be obtained.<br />
The Lugiato-Lefever equation and its<br />
refinements have been used to accurately<br />
predict the generation of these<br />
original states, such as soliton crystals<br />
and locked switching waves. The<br />
full extent of the possibility offered<br />
by Kerr frequency combs and their<br />
variants – pulse-driven, dual-pump,<br />
with gain medium, … – remains to<br />
be explored, both for fundamental<br />
study in nonlinear dynamics and for<br />
demanding applications.<br />
[1] P. Del’Haye, A. Schliesser, O. Arcizet, T. Wilken, R. Holzwarth & T. J. Kippenberg, Nature<br />
450, 1214-1217 (2007)<br />
[2] Y.K. Chembo, & C. R. Menyuk, Phys. Rev. A 87, 053852 (2013)<br />
[3] S. Coen, H. G. Randle, T. Sylvestre, & M. Erkintalo, Opt. Lett. 38, 37-39 (2013)<br />
[4] L.A. Lugiato, & R. Lefever, Phys. Rev. Lett. 58, 2209 (1987)<br />
[5] C. Godey, I. V. Balakireva, A. Coillet, & Y. K. Chembo, Phys. Rev. A 89, 063814 (2014)<br />
[6] T. Herr, V. Brasch, J. D. Jost et al., Nature Photon. 8, 145–152 (2014)<br />
[7] X. Xue, Y. Xuan, Y. Liu et al., Nature Photon. 9, 594–600 (2015)<br />
[8] S. Zhang, T. Bi, G. N. Ghalanos, N. P. Moroney, L. Del Bino, & P. Del’Haye, Phys. Rev. Lett.<br />
128, 033901 (2022)<br />
52 www.photoniques.com I <strong>Photoniques</strong> <strong>113</strong>
BACK TO BASICS<br />
optical helicity<br />
THE OPTICAL HELICITY<br />
IN A MORE ALGEBRAIC APPROACH<br />
TO ELECTROMAGNETISM<br />
///////////////////////////////////////////////////////////////////////////////////////////////////<br />
Ivan FERNANDEZ-CORBATON*<br />
Institute of Nanotechnology, Karlsruhe Institute of Technology, 76021 Karlsruhe, Germany<br />
*ivan.fernandez-corbaton@kit.edu<br />
https://doi.org/10.1051/photon/2021<strong>113</strong>54<br />
The constant miniaturization trend in<br />
nanophotonics challenges some of the<br />
theoretical tools at our disposal: Analytical<br />
shortcuts such as the dipolar and paraxial<br />
approximation become unapplicable, and<br />
the computational cost of fully numerical<br />
studies often renders them impractical.<br />
A basic electromagnetic property, the optical<br />
helicity, and the use of more abstract tools<br />
inspired by it, are rising to meet the challenge.<br />
The optical helicity, also known as electromagnetic<br />
helicity, represents the handedness of Maxwell<br />
fields, and is the conserved quantity connected<br />
to the electromagnetic duality symmetry. This<br />
connection allows to consider the polarization of<br />
the field within the powerful framework of symmetries<br />
and conservation laws. Such framework is formalized<br />
in electromagnetic Hilbert spaces thanks to the existence of an<br />
appropriate scalar product for Maxwell fields [1]. While these<br />
ideas may seem of purely theoretical interest, the abstraction<br />
and generality that they afford facilitate both the understanding<br />
and the design of specific light-matter interaction effects.<br />
The algebraic treatment of helicity and its eigenstates [2] is<br />
also a valuable tool for extending the theory, as exemplified<br />
by the recently established new connection between optics<br />
and magnetism [3].<br />
FUNDAMENTALS AND APPLICATIONS<br />
Helicity is the projection of the angular momentum vector J<br />
onto the direction of the linear momentum vector P,<br />
Λ = — J • P . (1)<br />
|P|<br />
Equation 1 is the most general form of the helicity operator,<br />
which is valid for many particles and fields, such as electrons<br />
and gravitational waves. For Maxwell fields, helicity<br />
describes the sense of screw in light: The circular polarization<br />
handedness.<br />
Helicity is a pseudoscalar: Its sign flips under any spatial<br />
inversion operation such as parity or mirror reflections.<br />
Figure 1 illustrates some transformation properties<br />
of helicity comparing them with the transformation<br />
properties of angular momentum. Helicity and angular<br />
momentum are two different properties of the field. A<br />
very basic difference is that, while a two dimensional<br />
plane is enough to define a rotation (angular momentum),<br />
three spatial dimensions are required to define a<br />
sense of screw (helicity). The systematic consideration<br />
of how helicity and angular momentum transform allows<br />
the identification of the symmetry reasons for particular<br />
light-matter interaction effects, which can then be used<br />
for the analysis and prediction of experimental measurements.<br />
For example, the optical vortices seen in focusing<br />
by or scattering off cylindrically symmetric systems are<br />
readily shown to be due to the breaking of a different<br />
54 www.photoniques.com I <strong>Photoniques</strong> <strong>113</strong>
optical helicity<br />
BACK TO BASICS<br />
In its most general illuminationindependent<br />
embodiment, helicity<br />
preservation is achieved by objects<br />
exhibiting electromagnetic duality<br />
symmetry, a fundamental continuous<br />
symmetry in electromagnetism.<br />
symmetry in each case (see Chap. 3 [4]): Translational<br />
symmetry in focusing, and electromagnetic duality symmetry<br />
(see below) in scattering. For the directional coupling<br />
of emitters onto waveguides, it is readily shown<br />
that the polarization handedness of the emission cannot<br />
be responsible for the directionality, which is controlled<br />
by angular momentum [5], see Fig. 3.<br />
For transverse Maxwell fields, helicity has two possible eigenvalues,<br />
λ = +1 and λ = -1, whose corresponding eigenstates for<br />
(r,t) -dependent Maxwell fields are (SI units assumed):<br />
F λ (r,t) = √<br />
– 0<br />
—2 [E(r,t) + iλc 0 B(r,t)], ΛF λ (r,t) = λF λ (r,t). (2)<br />
The F λ (r,t) can be built as the following sum of plane waves:<br />
dk<br />
F λ (r,t) = ∫ <br />
3 - {0}<br />
√ — F λ (k) exp(ik • r - ic 0 |k|t), (3)<br />
(2π) 3<br />
where k • F λ (k) = 0, i ^k × F λ (k) = λF λ (k) since Λ i ^k× in this<br />
representation and, importantly, the frequency is restricted<br />
to positive values ω = c 0 |k| > 0. The F λ (r, t) are the positive frequency<br />
restriction of the Riemann-Silberstein vectors<br />
Figure 1. Transformations of helicity, represented by the<br />
helices, and of angular momentum, represented by the 2D<br />
turns. The initial objects in a) are transformed by a rotation<br />
by 180 degrees along the y axis in b), by the parity operation<br />
in c), by a mirror reflection across the YZ plane in d), and by<br />
a mirror reflection across the XY plane in e). Spatial inversion<br />
transformations always flip the screw sense of the helix, while<br />
rotations never do. The chosen angular momentum changes<br />
sign (the sense of the turn is inverted) upon the rotation in b)<br />
and the reflection in e), and stays invariant upon parity and the<br />
reflection in d).<br />
<strong>Photoniques</strong> <strong>113</strong> I www.photoniques.com 55
BACK TO BASICS<br />
optical helicity<br />
Figure 2. F± split a general<br />
electromagnetic field such<br />
as the arbitrary multifrequency<br />
combination<br />
of circularly polarized<br />
plane waves in a) into its<br />
two helicity components,<br />
left-handed (blue) in b), and<br />
right-handed (red) in c).<br />
[2], and its monochromatic components are also known as<br />
Beltrami fields [6]. As illustrated in Fig. 2, the F λ (r, t) split<br />
the electromagnetic field into its left and right circular polarization<br />
handedness, for λ = +1 and λ = -1, respectively. The<br />
restriction to positive frequencies makes E(r, t) and B(r, t)<br />
necessarily complex valued, and is crucial for achieving the<br />
handedness splitting: If E(r t)and B(r, t) are real-valued, then<br />
|F + (r, t)| = |F–(r, t)|follows from Eq. 2, negating the handedness<br />
separation.<br />
The splitting allows to analyze the handedness of near<br />
fields around illuminated nanostructures, such as the silicon<br />
disk in Fig.4, which is illuminated on axis by a single plane<br />
wave of positive helicity. Figures 4a) and 4b) correspond to<br />
illumination with two different frequencies. Each sub-figure<br />
is divided into two areas where the false color scale shows<br />
point-wise intensities: |F + (r,|k|)| 2 on the left, and |F–(r,|k|)| 2<br />
on the right. The monochromatic F λ (r,|k|) are obtained as<br />
in Eq. 2, but using single frequency complex electric and<br />
magnetic fields. To a good approximation, and in contrast<br />
with what Fig. 4b) shows, Fig. 4a) shows that the disk does<br />
not couple the two helicities upon light-matter interaction:<br />
It preserves the incident helicity. In its most general illumination-independent<br />
embodiment, helicity preservation<br />
is achieved by objects exhibiting electromagnetic duality<br />
symmetry, a fundamental continuous symmetry in electromagnetism,<br />
whose action is:<br />
E(r,t) → E θ (r,t) = E(r,t)cosθ - c 0 B(r,t)sinθ,<br />
c 0 B(r,t) → c 0 B θ (r,t) = E(r,t)sinθ + c 0 B(r,t)cosθ,<br />
for a real angle θ, and its action on the helical fields<br />
(4)<br />
F λ (r,t) → F θ λ (r,t) = F λ(r,t) exp(–λiθ) (5)<br />
reveals that, in the same way that rotations are generated by<br />
angular momentum operators, e.g. R z (θ) = exp(–iθJ z ), duality<br />
is generated by the helicity operator D θ = exp(–iθΛ). The polarization<br />
of the field can then be treated within the powerful<br />
framework of symmetries and conservation laws. Such<br />
Figure 3. Emitters (circles) on top of waveguides (gray boxes) emit light with a definite angular momentum along the z-axis<br />
(yellow-brown arrows), and a definite helicity (blue/red circles), which couples asymmetrically to the waveguide modes, with more<br />
power going towards the +x direction than to the -x direction, or vice versa (purple arrows). The initial situations [panels a) and e)]<br />
are transformed by mirror reflections which are symmetries of the waveguide and leave the position of the emitter unchanged:<br />
Mx [panels b) and f)], Mz [panels c) and g)], and the composition MxMz [panels d) and h)], respectively, where α indicates a<br />
reflection across the plane perpendicular to the α direction. In each panel, the origin of coordinates is at the position of the emitter,<br />
and the coordinate axes are oriented as shown in the central part of the figure. The transformation properties of helicity allow us<br />
to conclude that it cannot be responsible for the directional coupling: For example, e) and h) show the same helicity producing<br />
the opposite directionality. Such contradictions do not arise for angular momentum, which is indeed the property of light which<br />
controls directionality [5].<br />
56 www.photoniques.com I <strong>Photoniques</strong> <strong>113</strong>
optical helicity<br />
BACK TO BASICS<br />
framework facilitates the identification of design guidelines<br />
for achieving specific effects, such as zero back-scattering<br />
(anti-reflection) (see Chap. 4 in [4]), and enhanced near-field<br />
interaction with chiral molecules (see Chap.5.3 in [4], [7]).<br />
Helicity preservation is one of the guidelines in these two<br />
particular cases. Unfortunately, dual-symmetric systems are<br />
hard to fabricate. The theoretically most straightforward<br />
way to design a dual system is by using materials with equal<br />
relative electric permittivity and magnetic permeability: a<br />
very demanding requirement. Fortunately, the essential<br />
idea in duality symmetry, balanced electric and magnetic<br />
responses, allows to design non-magnetic systems that preserve<br />
helicity, at least for particular frequencies and illumination<br />
directions. For example, the aspect ratio of the silicon<br />
disk in Fig. 4 was optimized [7] for hosting equal electric<br />
and magnetic dipole moments upon on-axis illumination<br />
at f = 125 THz.<br />
A SCALAR PRODUCT PROVIDES MORE TOOLS<br />
The appropriate scalar product for Maxwell fields is [1]:<br />
F|G<br />
dk<br />
= ∫ <br />
3 —<br />
- {0}<br />
ħc 0 |k| [F + (k)† G + (k) + F–(k) † G–(k)] (6)<br />
where |F and |G are two different sets of Maxwell fields, specified<br />
by their corresponding F λ (k), and G λ (k). Equation 6 is<br />
conformally invariant: Its numerical value is identical to the<br />
scalar product between X|F and X|G, for any transformation<br />
X in the conformal group, the 15 parameter group which is the<br />
largest group of invariance of Maxwell equations [8].<br />
Equation 6 is defined for free Maxwell fields which do not<br />
interact with matter. Nevertheless, in a light-matter interaction<br />
sequence such as the one depicted in Fig.5a), Eq. 6 can be applied<br />
to the pre- and post-interaction fields, only excluding the<br />
grayed out period where the interaction is ongoing.<br />
The scalar product for Maxwell fields allows to use the tools<br />
of Hilbert spaces in electromagnetism, and to leverage<br />
Figure 4. Helical decomposition of the scattered field around<br />
a silicon disk illuminated on axis with two different frequencies<br />
(adapted from [7]).<br />
<strong>Photoniques</strong> <strong>113</strong> I www.photoniques.com 57
BACK TO BASICS<br />
optical helicity<br />
it produces is longitudinal (parallel to k), and is hence annihilated<br />
by the action of the helicity operator Λ i^k×. Importantly,<br />
Λ ω=0 can be readily shown to be 1/2√ — 0 /µ 0 times the magnetic<br />
helicity. The electromagnetic helicity of the dynamic Maxwell<br />
fields and the static magnetic helicity [9] are unified as two different<br />
embodiments of the same physical quantity, establishing<br />
the theoretical basis for studying the conversion between the<br />
two embodiments of total helicity upon light-matter interaction<br />
[3], as illustrated in Fig.5.<br />
Figure 5. Helicity exchange between electromagnetic fields<br />
and material magnetization. In a) a beam of positive helicity<br />
interacts with a magnetization of the opposite helicity and flips<br />
its handedness. In b), an initially chiral magnetization is turned<br />
into an achiral one by achiral and non-necessarily optical<br />
forces. In this process, the material radiates an electromagnetic<br />
field which contains (part of) the helicity lost by the material.<br />
some of the methods from quantum mechanics. Given an electromagnetic<br />
field |F, the average of its linear momenta, angular<br />
momenta, energy, and any other quantity represented by<br />
a hermitian operator Γ is F|Γ|F, which can be readily written<br />
down as a k-space integral [2] using Eq.6.<br />
Recently, the k-space integral expression of the average<br />
electromagnetic helicity, F|Λ|F, has lead to the definition<br />
of material helicity [3]. Matter in static equilibrium is electromagnetically<br />
represented by its electric charge density<br />
ρ(r), and its magnetization density M(r), which are bijectively<br />
connected to the static fields that they generate at ω = 0. It is<br />
then possible to define the total helicity, Λ, as the sum of<br />
two terms: The electromagnetic helicity, F|Λ|F = Λ ω>0 that<br />
measures the difference between the number of left-handed<br />
and right-handed photons of the free field, and a static term,<br />
Λ ω=0 , that measures the screwiness of the static magnetization<br />
density in matter:<br />
Λ = Λ ω>0 + Λ ω=0 , where<br />
Λ ω>0 dk<br />
= ∫ <br />
3 —<br />
- {0}<br />
ħc 0 |k| |F + (c 0|k|, k)| 2 – |F–(c 0 |k|, k)| 2 ,<br />
Λ ω=0 dk |M<br />
= ∫ <br />
3 — + (0, k)| 2 – |M–(0, k)|<br />
——<br />
2<br />
- {0}<br />
ħc 0 |k|<br />
2/µ0<br />
The F ± (c 0 |k|, k) are the F λ (k) of Eq.3, and M λ (0, k)<br />
are the λ = ±1 helicity components of the 3D Fourier<br />
transform M(0, k) of the static magnetization density<br />
M(r): 2M λ (0, k) = (I + λ i^k ×) (i^k ×) 2 M(0, k). The charge density ρ(r)<br />
does not host any material helicity because the electric field that<br />
(6)<br />
OUTLOOK<br />
The design of helicity preserving systems is an area of research<br />
with technological implications. While approximations such<br />
as the geometric optimization illustrated in Fig.4 can already<br />
be of some use, recent advances in molecular science prompt<br />
the question of whether a truly dual symmetric material, albeit<br />
likely with a narrow operational frequency band, can be<br />
achieved through molecular design.<br />
Finally, the transfer of helicity from the field into a magnetic<br />
material is a mechanism for affecting the chirality of matter<br />
in static equilibrium, that is, in its ground state. This points<br />
to possible applications in magnetization control by optical<br />
means. The potential role of the effect in the all-optical helicity-dependent<br />
magnetization switching [10] is an exciting<br />
research question.<br />
ACKNOWLEDGMENTS<br />
Partially funded by the Deutsche Forschungsgemeinschaft<br />
(DFG, German Research Foundation) --Project-ID 258734477<br />
-- SFB 1173.<br />
REFERENCES<br />
[1] L. Gross, J. Math. Phys. 5, 687 (1964).<br />
[2] I. Bialynicki-Birula, Prog. Optics 36, 245 (1996).<br />
[3] I. Fernandez-Corbaton, Phys. Rev. B 103, 054406 (2021).<br />
[4] I. Fernandez-Corbaton, Helicity and duality symmetry<br />
in light matter interactions: Theory and applications, Ph.D.<br />
thesis, Macquarie University (2014), arXiv: 1407.4432.<br />
[5] A. G. Lamprianidis, X. Zambrana-Puyalto, C. Rockstuhl,<br />
and I. Fernandez-Corbaton, Laser & PhotonicsReviews 16,<br />
2000516 (2022).<br />
[6] Lakhtakia A., Beltrami fields in chiral media (World<br />
Scientific, 1994).<br />
[7] F. Graf, J. Feis, X. Garcia-Santiago, M. Wegener,C. Rockstuhl,<br />
and I. Fernandez-Corbaton, ACS Photonics 6, 482 (2019).<br />
[8] H. Bateman, Proceedings of the London Mathematical<br />
Society s2-7, 70 (1909).<br />
[9] M. A. Berger, Plasma Physics and Controlled Fusion 41,<br />
B167 (1999).<br />
[10] C. D. Stanciu, F. Hansteen, A. V. Kimel, A. Kirilyuk,<br />
A. Tsukamoto, A. Itoh, and T. Rasing, Phys. Rev. Lett. 99,<br />
047601 (2007).<br />
58 www.photoniques.com I <strong>Photoniques</strong> <strong>113</strong>
optical helicity<br />
BACK TO BASICS<br />
<strong>Photoniques</strong> <strong>113</strong> I www.photoniques.com 59
BUYER'S GUIDE<br />
nanopositioner solution<br />
HOW TO SELECT<br />
A NANOPOSITIONER<br />
SOLUTION?<br />
///////////////////////////////////////////////////////////////////////////////////////////////////<br />
Emmanuel Pascal 1, *, Scott Jordan 2<br />
1<br />
PI FRANCE, 380 avenue Archimède, bât D, 13100 Aix en Provence, France<br />
2<br />
PI USA, Head Office, 16 Albert Street, Auburn, MA 01501, USA<br />
*e.pascal@pi.ws<br />
https://doi.org/10.1051/photon/2022<strong>113</strong>60<br />
Many recent innovations have been enabled by high<br />
precision positioning devices operating at a nanometer<br />
level or below. Developments in this field have been<br />
very fast over the last years supported by applications<br />
in material sciences, genomics, photonics, defense,<br />
biophysics, and semiconductors creating challenges<br />
for the scientists and engineers in need of precise and<br />
yet robust positioning systems. The critical point is:<br />
how should you select your nano positioning solution?<br />
NANOPOSITIONING SYSTEM:<br />
A NEW DEFINITION?<br />
By its original definition, a nanopositioning<br />
device is a mechanism<br />
capable of repeatedly delivering<br />
motion in increments as small as one<br />
nanometer. Lately, demands from<br />
industry and research have pushed<br />
requirements to the picometer range.<br />
While electroceramics such as piezo<br />
materials with flexure guides remain<br />
the gold standard for breaking the<br />
resolution nanometer barrier, there<br />
are several other solutions available<br />
today providing repeatable single-digit<br />
nanometer step resolution including<br />
linear motors, voice-coil drives,<br />
and frictionless guides such as air<br />
bearings and magnetic bearings.<br />
Emmanuel Pascal: Country Director,<br />
PI France<br />
Scott Jordan: Head of Photonics Market<br />
Segment, PI Group<br />
Dynamic issues dominate many applications<br />
and can be addressed by<br />
novel approaches that benefit realtime/high-dynamic<br />
applications.<br />
They present new opportunities for<br />
optimizing process economics.<br />
Rapid testing and packaging of<br />
the latest silicon photonics (SiPh)<br />
devices — starting at the wafer level<br />
— is the perfect example. In these<br />
applications, optical elements and<br />
probes must be brought into perfect<br />
coupling with devices in various<br />
stages of manufacture from wafer to<br />
final package. With thousands of optical<br />
elements on a single wafer, coupling<br />
time becomes the most critical<br />
cost factor in testing. The same applies<br />
to all further process steps up<br />
to assembly and packaging, where<br />
active and passive optical elements<br />
(e.g., LEDs, laser diodes, photodiodes<br />
and optical fibers and waveguides)<br />
must be precisely positioned<br />
Figure 1. A doublesided<br />
test and<br />
alignment system<br />
for silicon photonics<br />
wafers based on<br />
hexapods and piezo<br />
nanopositioning stages<br />
to combine the fastest<br />
alignment speeds with<br />
the highest flexibility.<br />
60 www.photoniques.com I <strong>Photoniques</strong> <strong>113</strong>
nanopositioner solution BUYER'S GUIDE<br />
Figure 2.<br />
A motion<br />
amplified,<br />
flexure-guided<br />
actuator based<br />
on a multilayer<br />
piezo stack.<br />
Piezo flexure<br />
drives can<br />
last 100<br />
billion cycles!<br />
relative to each other, typically with accuracies<br />
in the sub micrometer range.<br />
Here, too, the time required for coupling<br />
optimization is decisive for cost-effectiveness.<br />
What makes these applications<br />
even more challenging is the frequent<br />
requirement to optimize positioning in<br />
up to all six degrees of freedom. This requires<br />
intelligent, precisely coordinated<br />
motion control in order not to destroy<br />
the result once achieved in one axis by<br />
movements in another axis. Complex<br />
algorithms that enable parallel, i.e., simultaneous,<br />
optimization in multiple<br />
degrees of freedom are the solution<br />
here. This creates a new paradigm for<br />
the definition of a nanopositioning system.<br />
We are not talking anymore about<br />
a single piezo flexure stage but sophisticated<br />
and yet robust systems, built application<br />
specific, that can work from<br />
lab to fab environment.<br />
NANO POSITIONING:<br />
NO FRICTION PLEASE<br />
As a rule of thumb, the lower the mechanical<br />
friction in a motion system, the<br />
higher the positioning performance.<br />
Three frictionless guiding technologies<br />
are often used in nanopositioning applications:<br />
flexures, air bearings, and<br />
magnetic bearings.<br />
Flexures guides are highly stable and<br />
stiff, but with travels limited to the millimeter<br />
region. For motion ranges from<br />
a few to hundreds of millimeters, air<br />
bearings offer a solution. An air-bearing<br />
stage is a linear or rotary positioner<br />
constrained on a cushion of air, using<br />
preload mechanisms, virtually eliminating<br />
mechanical contact and thus wear,<br />
friction, bearing noise, and hysteresis<br />
effects. Air-bearing nano-positioning<br />
stages are used in numerous high precision<br />
motion applications, such<br />
PIEZO ACTUATORS ON MARS!<br />
All-ceramic-encapsulated, cofired<br />
piezo actuators were introduced many<br />
years ago pushing performance and<br />
reliability to new limits to respond to the<br />
industrial requirements.<br />
These actuators improve greatly the<br />
reliability of devices based on this<br />
technology, especially when used in challenging environments.<br />
In fact, NASA/JPL engineers ran these actuators through harsh life tests<br />
including 100 billion expansion/contraction cycles before selecting them<br />
for the Mars Rover’s science lab!<br />
<strong>Photoniques</strong> <strong>113</strong> I www.photoniques.com 61
BUYER'S GUIDE<br />
nanopositioner solution<br />
as metrology, flat panel display inspection,<br />
large-area photonics test etc.<br />
The non-contact design also makes<br />
these stages work well in cleanroom<br />
applications.<br />
SHORT TRAVEL PIEZO<br />
POSITIONERS<br />
When talking about nanopositioning<br />
actuators with precision in the<br />
nm range and travel ranges of up<br />
to a few millimeters, piezo actuators<br />
combined with flexure designs<br />
are the historical solution. Flexure<br />
guides are frictionless and can be<br />
extremely small and robust at relatively<br />
low cost.<br />
Piezoelectric technologies play<br />
a foundational role in positioning<br />
applications with nanometer resolution<br />
requirements. The benefits of<br />
piezo-based devices include:<br />
• Unlimited resolution: positioning<br />
increments well below 1nm are<br />
possible and fit applications ranging<br />
from semiconductor to super<br />
resolution microscopy<br />
• Fast response (microsecond time<br />
constants)<br />
• Maintenance-free, solid-state<br />
construction that reduces wear<br />
and tear<br />
• High efficiency: energy is absorbed<br />
only to perform movement<br />
• Inherent vacuum-compatibility<br />
• Non-magnetic and magnetic-insensitive<br />
construction<br />
• High throughput and dynamic<br />
accuracy<br />
Figure 3. Example of Voice Coil Miniature Linear<br />
Stage with Air Bearings.<br />
LONG-TRAVEL<br />
PIEZO TECHNOLOGIES<br />
By combining lateral actuation<br />
and longitudinal actuation of piezo<br />
actuators, it is possible to create<br />
the basic element of a piezo walking<br />
drive. A digital controller sequences<br />
their operation, providing<br />
high-force, long travel step-mode<br />
actuation plus picometer resolution<br />
fine high-bandwidth actuation.<br />
Forces can be generated to<br />
800N and resolution down to<br />
50pm are achievable. This unique<br />
combination of class-leading characteristics<br />
is proving to be an enabling<br />
technology for a wide variety<br />
of applications.<br />
Figure 4. High-load walking drives combine<br />
piezo clamping and shear actuators in order<br />
to move a rod.<br />
Another use of piezo ceramics<br />
technology is in ultrasonic piezo<br />
motors. These are composed of monolithic<br />
slabs of piezo ceramics; standing<br />
waves are driven in the substrate<br />
at frequencies of tens to hundreds of<br />
kilohertz. A hardened contact-point<br />
attached at a resonant node-point is<br />
thereby made to oscillate in a quasi-elliptical<br />
fashion; when preloaded<br />
against a runner, this confers linear<br />
or rotary motion. These piezo motors<br />
achieve up to 500mm/sec or 720<br />
degrees/sec over virtually unlimited<br />
travel ranges while providing high<br />
precision and fast start/stop dynamics.<br />
A key benefit of this class of<br />
motor is the in-position stability.<br />
CLOSED LOOP OPERATION:<br />
SELECTING THE RIGHT SENSOR/<br />
CONTROLLER SOLUTION<br />
Achieving nanometer precision<br />
requires further technologies. The<br />
stage’s internal metrology system<br />
must also be capable of measuring<br />
motion at the nanometer scale. The<br />
characteristics to consider when selecting<br />
a stage metrology system are<br />
linearity, resolution, stability and<br />
bandwidth. Other factors include the<br />
ability to measure the moving platform<br />
directly and contact vs. noncontact<br />
measurements. Three types of<br />
sensors are mostly used in nanopositioning<br />
applications: linear encoders<br />
(for longer travels), and capacitive<br />
and strain sensors (for short travels).<br />
Linear encoders are familiar devices<br />
for measuring long displacements<br />
up to hundreds of millimeters.<br />
While resolution in the nanometer<br />
range is common, accuracy is typically<br />
limited to 1 µm per 100 mm.<br />
However, this can be improved significantly<br />
with modern controllers.<br />
Incremental encoders measure<br />
changes in position and must be initially<br />
referenced to a home switch on<br />
power up; absolute encoders do not<br />
require this step but tend to be costlier.<br />
For short travel nanopositioning<br />
devices, cost-effective strain gauges<br />
(incl. piezoresistive sensors) use elements<br />
whose electrical characteristics<br />
62 www.photoniques.com I <strong>Photoniques</strong> <strong>113</strong>
nanopositioner solution BUYER'S GUIDE<br />
While resolution in the nanometer range is common,<br />
accuracy is typically limited to 1 µm per 100 mm. However,<br />
this can be improved significantly with modern controllers.<br />
change with strain. These devices are<br />
usually attached to the piezo ceramics<br />
itself or to a structural element of the<br />
stage. Special care must be taken when designing<br />
them into a mechanism. If there<br />
are elastic or frictional elements in the<br />
path between the point of motion and the<br />
point of measurement, errors will result.<br />
Physically small sensors (such as piezoresistive<br />
sensors) measure a highly spatially<br />
localized strain, from which the overall<br />
mechanism position can be inferred.<br />
And these sensors cannot be configured<br />
to compensate for orthogonal (parasitic)<br />
errors in multi-axis configurations — only<br />
parallel metrology of the actual moving<br />
platform can provide this valuable capability.<br />
Capacitive sensors have emerged<br />
as the preferred solution for the most demanding<br />
nanopositioning applications<br />
requiring short travel ranges. They are absolute,<br />
extremely accurate and ultrahighresolution<br />
devices for determining absolute<br />
position over ranges of hundreds of<br />
microns or even millimeters. The device’s<br />
positioning motions vary the distance<br />
between two nano-machined capacitor<br />
plates, providing a sensitive and drift-free<br />
positional feedback signal.<br />
ACTIVE OPTIC MOUNTS:<br />
TRAVELLING IN SPACE<br />
Beyond linear single or multi-axes configurations,<br />
piezoelectric devices are very suitable<br />
to create tip/tilt platforms. With the<br />
integration of actuators with resolutions<br />
well below 1nm, these systems routinely<br />
offer angular resolutions surpassing 1/100<br />
arcsec. Compact piezo- and voice-coil-actuated<br />
active optic mounts are available<br />
with multiple degrees of optical deflection.<br />
Two-axis, parallel-kinematic piezo<br />
mounts offer advantageous gimbal-style<br />
actuation with coplanar rotational axes.<br />
Compared to galvos and voice-coil systems,<br />
piezo-driven active optic mounts are<br />
typically more compact, fieldless, faster,<br />
inherently stiffer, and more predictable<br />
when power is cut. They are of great interest<br />
in the innovative field of Free Space<br />
Optical Communications (FSOC), where<br />
thousands of satellites form a high-speed,<br />
low-latency global information network.<br />
For these applications, robustness, long<br />
life and environmental insensitivity<br />
are prized.<br />
INTERFACING<br />
A wide variety of interfaces is available<br />
today, RS-232 to Ethernet, SPI, and USB,<br />
plus a host of specialty interfaces are<br />
among them. The choice depends on<br />
your environment, and all have pros<br />
and cons. Since motion controllers communicate<br />
via short messages, latency is<br />
often much more important to overall<br />
throughput than bulk transfer speed.<br />
USB and Ethernet are very common,<br />
with the latter supporting remote and<br />
distributed communications at the cost<br />
of variable latencies when the common<br />
TCP/IP communications protocol<br />
Figure 5.<br />
Example<br />
of Voice Coil<br />
Miniature Linear<br />
Stage with<br />
Air Bearings.<br />
<strong>Photoniques</strong> <strong>113</strong> I www.photoniques.com 63
BUYER'S GUIDE<br />
nanopositioner solution<br />
rapid optical alignments. Advanced<br />
controllers for sophisticated automation<br />
tasks in industrial environments<br />
are now available on the market with<br />
nanoscale capabilities. They can drive<br />
linear or brushless motors, are based<br />
on a real time architecture and serve<br />
applications such as laser material<br />
processing, photolithography, fine<br />
inspection or any application where<br />
tight synchronization is required.<br />
They can generate controlled trajectories—for<br />
example from a 3D CAD<br />
file—and offer advanced correction<br />
capabilities to achieve the best results.<br />
is used. By comparison, EtherCAT is<br />
a deterministic, open protocol that<br />
leverages the ubiquity and speed of<br />
Ethernet hardware, allowing flexible<br />
construction of sophisticated and<br />
scalable systems. Although analog<br />
interfacing may sound obsolete, it has<br />
essentially zero latency and infinite<br />
speed and is easily coordinated with<br />
data acquisition, triggering and other<br />
real-time processes. Good implementations<br />
of a digital interface with a<br />
precision DAC generally add internal<br />
waveform generation and synchronization<br />
capabilities; the highest-performance<br />
implementations are of course<br />
fully fledged DSP architectures which<br />
eliminate the analog servo-circuitry<br />
entirely. A particularly common application<br />
of nanopositioners to photonics<br />
is in automated alignment.<br />
Recent advanced controllers for<br />
piezo nanopositioners, hexapods<br />
and stage stacks embed automated<br />
alignment routines including parallel<br />
gradient search methods for the most<br />
Figure 6. A tip/tilt beam steering platform,<br />
used in the Solar Orbiter space probe. In<br />
principle various sizes of mirror can be installed<br />
and optical deflections to several degrees<br />
are achievable.<br />
VENDORS IN EUROPE<br />
Aerotech<br />
Attocube<br />
Cedrat Technologies<br />
Leuwen Air Bearings (LAV)<br />
Mad City Lab (MCL)<br />
MKS Newport<br />
nPoint<br />
Physik Instrumente (PI)<br />
Piezo Motor<br />
Piezo System Jena<br />
Piezoconcept<br />
Pro-lite<br />
Smaract<br />
Tekceleo<br />
Thorlabs<br />
CONCLUSION<br />
It is nowadays possible to build<br />
advanced instrumentation with<br />
nanoscale performances with various<br />
technologies. Beyond the fundamentals<br />
of product capability,<br />
quality, global support, and applications<br />
savvy, choosing a vendor represents<br />
a choice of partners. There are<br />
tangible benefits of working with a<br />
supplier whose experience crosses<br />
many fields and many drive technologies.<br />
Such a supplier is able to share<br />
best-practices from other arenas. This<br />
multicompetences ability can help<br />
you drive innovation in your application,<br />
delivering a competitive advantage<br />
through a holistic approach.<br />
WEBSITE<br />
https://www.aerotech.com/<br />
https://www.attocube.com/en<br />
https://www.cedrat-technologies.com/en/<br />
https://www.labmotionsystems.com/<br />
http://www.madcitylabs.eu/<br />
https://www.mksinst.com/b/newport<br />
https://npoint.com/<br />
https://www.physikinstrumente.com/en/<br />
https://piezomotor.com/<br />
https://www.piezosystem.com/<br />
https://piezoconcept-store.squarespace.com/<br />
https://www.pro-lite.fr/<br />
https://www.smaract.com/index-en<br />
https://www.tekceleo.fr/<br />
https://www.thorlabs.com/<br />
64 www.photoniques.com I <strong>Photoniques</strong> <strong>113</strong>
NEW PRODUCTS<br />
Optical frequency comb synthesizer<br />
Menlo Systems introduces<br />
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SWEPT LASER<br />
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The new deltaEmerald allows simultaneous Stimulated Raman<br />
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LASER BEAM<br />
PROFILE ANALYZER<br />
The SLED 1000 Ophir®<br />
SP932U is a compact<br />
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<strong>Photoniques</strong> <strong>113</strong> I www.photoniques.com 65